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Finding the Fourth Proportional to 9,686.52, 14,502.24 and 9,074.16

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Solution

The fourth proportional to 9,686.52, 14,502.24 and 9,074.16 is: 13,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.52 : 14,502.24 = 9,074.16 : x
  2. Step 2: Convert to fraction form
    9,686.52/14,502.24 = 9,074.16/x
  3. Step 3: Cross multiply
    9,686.52x = 14,502.24 × 9,074.16
  4. Step 4: Simplify right side
    9,686.52x = 131,595,646.12
  5. Step 5: Solve for x
    x = 131,595,646.12/9,686.52
  6. Step 6: Final answer
    x = 13,585.44

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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.