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Finding the Fourth Proportional to 9,143.61, 13,712.04 and 4,462.26

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Solution

The fourth proportional to 9,143.61, 13,712.04 and 4,462.26 is: 6,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.61 : 13,712.04 = 4,462.26 : x
  2. Step 2: Convert to fraction form
    9,143.61/13,712.04 = 4,462.26/x
  3. Step 3: Cross multiply
    9,143.61x = 13,712.04 × 4,462.26
  4. Step 4: Simplify right side
    9,143.61x = 61,186,687.61
  5. Step 5: Solve for x
    x = 61,186,687.61/9,143.61
  6. Step 6: Final answer
    x = 6,691.74

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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.