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Finding the Fourth Proportional to 9,488.64, 14,213.90 and 4,730.46

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Solution

The fourth proportional to 9,488.64, 14,213.90 and 4,730.46 is: 7,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.64 : 14,213.90 = 4,730.46 : x
  2. Step 2: Convert to fraction form
    9,488.64/14,213.90 = 4,730.46/x
  3. Step 3: Cross multiply
    9,488.64x = 14,213.90 × 4,730.46
  4. Step 4: Simplify right side
    9,488.64x = 67,238,261.74
  5. Step 5: Solve for x
    x = 67,238,261.74/9,488.64
  6. Step 6: Final answer
    x = 7,086.19

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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.