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Finding the Fourth Proportional to 9,150.52, 12,613.74 and 5,607.16

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Solution

The fourth proportional to 9,150.52, 12,613.74 and 5,607.16 is: 7,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.52 : 12,613.74 = 5,607.16 : x
  2. Step 2: Convert to fraction form
    9,150.52/12,613.74 = 5,607.16/x
  3. Step 3: Cross multiply
    9,150.52x = 12,613.74 × 5,607.16
  4. Step 4: Simplify right side
    9,150.52x = 70,727,258.38
  5. Step 5: Solve for x
    x = 70,727,258.38/9,150.52
  6. Step 6: Final answer
    x = 7,729.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.