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Finding the Fourth Proportional to 9,565.75, 13,201.95 and 5,374

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Solution

The fourth proportional to 9,565.75, 13,201.95 and 5,374 is: 7,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.75 : 13,201.95 = 5,374 : x
  2. Step 2: Convert to fraction form
    9,565.75/13,201.95 = 5,374/x
  3. Step 3: Cross multiply
    9,565.75x = 13,201.95 × 5,374
  4. Step 4: Simplify right side
    9,565.75x = 70,947,279.30
  5. Step 5: Solve for x
    x = 70,947,279.30/9,565.75
  6. Step 6: Final answer
    x = 7,416.80

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