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Finding the Fourth Proportional to 9,565.80, 13,202 and 5,374

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Solution

The fourth proportional to 9,565.80, 13,202 and 5,374 is: 7,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.80 : 13,202 = 5,374 : x
  2. Step 2: Convert to fraction form
    9,565.80/13,202 = 5,374/x
  3. Step 3: Cross multiply
    9,565.80x = 13,202 × 5,374
  4. Step 4: Simplify right side
    9,565.80x = 70,947,548
  5. Step 5: Solve for x
    x = 70,947,548/9,565.80
  6. Step 6: Final answer
    x = 7,416.79

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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.