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Finding the Fourth Proportional to 9,101.64, 12,561.47 and 5,123.52

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Solution

The fourth proportional to 9,101.64, 12,561.47 and 5,123.52 is: 7,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.64 : 12,561.47 = 5,123.52 : x
  2. Step 2: Convert to fraction form
    9,101.64/12,561.47 = 5,123.52/x
  3. Step 3: Cross multiply
    9,101.64x = 12,561.47 × 5,123.52
  4. Step 4: Simplify right side
    9,101.64x = 64,358,948.56
  5. Step 5: Solve for x
    x = 64,358,948.56/9,101.64
  6. Step 6: Final answer
    x = 7,071.14

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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.