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Finding the Fourth Proportional to 9,627.72, 14,432.18 and 4,697.16

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Solution

The fourth proportional to 9,627.72, 14,432.18 and 4,697.16 is: 7,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.72 : 14,432.18 = 4,697.16 : x
  2. Step 2: Convert to fraction form
    9,627.72/14,432.18 = 4,697.16/x
  3. Step 3: Cross multiply
    9,627.72x = 14,432.18 × 4,697.16
  4. Step 4: Simplify right side
    9,627.72x = 67,790,258.61
  5. Step 5: Solve for x
    x = 67,790,258.61/9,627.72
  6. Step 6: Final answer
    x = 7,041.15

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