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Finding the Fourth Proportional to 9,642,283.60, 14,462,964.60 and 3,251,909.20

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Solution

The fourth proportional to 9,642,283.60, 14,462,964.60 and 3,251,909.20 is: 4,877,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,283.60 : 14,462,964.60 = 3,251,909.20 : x
  2. Step 2: Convert to fraction form
    9,642,283.60/14,462,964.60 = 3,251,909.20/x
  3. Step 3: Cross multiply
    9,642,283.60x = 14,462,964.60 × 3,251,909.20
  4. Step 4: Simplify right side
    9,642,283.60x = 47,032,247,642,014.32
  5. Step 5: Solve for x
    x = 47,032,247,642,014.32/9,642,283.60
  6. Step 6: Final answer
    x = 4,877,708.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.