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Finding the Fourth Proportional to 9,652.32, 13,319.72 and 5,403.28

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Solution

The fourth proportional to 9,652.32, 13,319.72 and 5,403.28 is: 7,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 13,319.72 = 5,403.28 : x
  2. Step 2: Convert to fraction form
    9,652.32/13,319.72 = 5,403.28/x
  3. Step 3: Cross multiply
    9,652.32x = 13,319.72 × 5,403.28
  4. Step 4: Simplify right side
    9,652.32x = 71,970,176.68
  5. Step 5: Solve for x
    x = 71,970,176.68/9,652.32
  6. Step 6: Final answer
    x = 7,456.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.