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Finding the Fourth Proportional to 9,123.48, 13,684.70 and 3,856.28

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Solution

The fourth proportional to 9,123.48, 13,684.70 and 3,856.28 is: 5,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.48 : 13,684.70 = 3,856.28 : x
  2. Step 2: Convert to fraction form
    9,123.48/13,684.70 = 3,856.28/x
  3. Step 3: Cross multiply
    9,123.48x = 13,684.70 × 3,856.28
  4. Step 4: Simplify right side
    9,123.48x = 52,772,034.92
  5. Step 5: Solve for x
    x = 52,772,034.92/9,123.48
  6. Step 6: Final answer
    x = 5,784.20

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