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Finding the Fourth Proportional to 9,757.52, 13,465.04 and 5,565.60

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Solution

The fourth proportional to 9,757.52, 13,465.04 and 5,565.60 is: 7,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.52 : 13,465.04 = 5,565.60 : x
  2. Step 2: Convert to fraction form
    9,757.52/13,465.04 = 5,565.60/x
  3. Step 3: Cross multiply
    9,757.52x = 13,465.04 × 5,565.60
  4. Step 4: Simplify right side
    9,757.52x = 74,941,026.62
  5. Step 5: Solve for x
    x = 74,941,026.62/9,757.52
  6. Step 6: Final answer
    x = 7,680.34

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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.