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Finding the Fourth Proportional to 9,812.16, 14,700.96 and 9,227.52

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Solution

The fourth proportional to 9,812.16, 14,700.96 and 9,227.52 is: 13,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.16 : 14,700.96 = 9,227.52 : x
  2. Step 2: Convert to fraction form
    9,812.16/14,700.96 = 9,227.52/x
  3. Step 3: Cross multiply
    9,812.16x = 14,700.96 × 9,227.52
  4. Step 4: Simplify right side
    9,812.16x = 135,653,402.42
  5. Step 5: Solve for x
    x = 135,653,402.42/9,812.16
  6. Step 6: Final answer
    x = 13,825.03

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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.