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Finding the Fourth Proportional to 9,672.90, 14,520.15 and 5,288.10

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Solution

The fourth proportional to 9,672.90, 14,520.15 and 5,288.10 is: 7,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.90 : 14,520.15 = 5,288.10 : x
  2. Step 2: Convert to fraction form
    9,672.90/14,520.15 = 5,288.10/x
  3. Step 3: Cross multiply
    9,672.90x = 14,520.15 × 5,288.10
  4. Step 4: Simplify right side
    9,672.90x = 76,784,005.22
  5. Step 5: Solve for x
    x = 76,784,005.22/9,672.90
  6. Step 6: Final answer
    x = 7,938.05

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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.