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Finding the Fourth Proportional to 9,499.52, 13,109.12 and 5,308.16

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Solution

The fourth proportional to 9,499.52, 13,109.12 and 5,308.16 is: 7,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.52 : 13,109.12 = 5,308.16 : x
  2. Step 2: Convert to fraction form
    9,499.52/13,109.12 = 5,308.16/x
  3. Step 3: Cross multiply
    9,499.52x = 13,109.12 × 5,308.16
  4. Step 4: Simplify right side
    9,499.52x = 69,585,306.42
  5. Step 5: Solve for x
    x = 69,585,306.42/9,499.52
  6. Step 6: Final answer
    x = 7,325.14

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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.