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Finding the Fourth Proportional to 9,988.52, 13,778.06 and 6,402.29

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Solution

The fourth proportional to 9,988.52, 13,778.06 and 6,402.29 is: 8,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.52 : 13,778.06 = 6,402.29 : x
  2. Step 2: Convert to fraction form
    9,988.52/13,778.06 = 6,402.29/x
  3. Step 3: Cross multiply
    9,988.52x = 13,778.06 × 6,402.29
  4. Step 4: Simplify right side
    9,988.52x = 88,211,034.86
  5. Step 5: Solve for x
    x = 88,211,034.86/9,988.52
  6. Step 6: Final answer
    x = 8,831.25

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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.