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Finding the Fourth Proportional to 9,565.75, 13,200.74 and 5,374

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Solution

The fourth proportional to 9,565.75, 13,200.74 and 5,374 is: 7,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.75 : 13,200.74 = 5,374 : x
  2. Step 2: Convert to fraction form
    9,565.75/13,200.74 = 5,374/x
  3. Step 3: Cross multiply
    9,565.75x = 13,200.74 × 5,374
  4. Step 4: Simplify right side
    9,565.75x = 70,940,776.76
  5. Step 5: Solve for x
    x = 70,940,776.76/9,565.75
  6. Step 6: Final answer
    x = 7,416.12

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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.