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Finding the Fourth Proportional to 9,597.78, 14,374.34 and 9,265.20

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Solution

The fourth proportional to 9,597.78, 14,374.34 and 9,265.20 is: 13,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.78 : 14,374.34 = 9,265.20 : x
  2. Step 2: Convert to fraction form
    9,597.78/14,374.34 = 9,265.20/x
  3. Step 3: Cross multiply
    9,597.78x = 14,374.34 × 9,265.20
  4. Step 4: Simplify right side
    9,597.78x = 133,181,134.97
  5. Step 5: Solve for x
    x = 133,181,134.97/9,597.78
  6. Step 6: Final answer
    x = 13,876.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.