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Finding the Fourth Proportional to 9,505.52, 13,117.40 and 5,314.16

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Solution

The fourth proportional to 9,505.52, 13,117.40 and 5,314.16 is: 7,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.52 : 13,117.40 = 5,314.16 : x
  2. Step 2: Convert to fraction form
    9,505.52/13,117.40 = 5,314.16/x
  3. Step 3: Cross multiply
    9,505.52x = 13,117.40 × 5,314.16
  4. Step 4: Simplify right side
    9,505.52x = 69,707,962.38
  5. Step 5: Solve for x
    x = 69,707,962.38/9,505.52
  6. Step 6: Final answer
    x = 7,333.42

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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.