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Finding the Fourth Proportional to 9,351.60, 14,012.82 and 4,420.32

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Solution

The fourth proportional to 9,351.60, 14,012.82 and 4,420.32 is: 6,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.60 : 14,012.82 = 4,420.32 : x
  2. Step 2: Convert to fraction form
    9,351.60/14,012.82 = 4,420.32/x
  3. Step 3: Cross multiply
    9,351.60x = 14,012.82 × 4,420.32
  4. Step 4: Simplify right side
    9,351.60x = 61,941,148.50
  5. Step 5: Solve for x
    x = 61,941,148.50/9,351.60
  6. Step 6: Final answer
    x = 6,623.59

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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.