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Finding the Fourth Proportional to 9,412.10, 14,122.76 and 3,789.53

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Solution

The fourth proportional to 9,412.10, 14,122.76 and 3,789.53 is: 5,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.10 : 14,122.76 = 3,789.53 : x
  2. Step 2: Convert to fraction form
    9,412.10/14,122.76 = 3,789.53/x
  3. Step 3: Cross multiply
    9,412.10x = 14,122.76 × 3,789.53
  4. Step 4: Simplify right side
    9,412.10x = 53,518,665.54
  5. Step 5: Solve for x
    x = 53,518,665.54/9,412.10
  6. Step 6: Final answer
    x = 5,686.16

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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.