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Finding the Fourth Proportional to 9,141.68, 13,710.78 and 4,456.98

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Solution

The fourth proportional to 9,141.68, 13,710.78 and 4,456.98 is: 6,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.68 : 13,710.78 = 4,456.98 : x
  2. Step 2: Convert to fraction form
    9,141.68/13,710.78 = 4,456.98/x
  3. Step 3: Cross multiply
    9,141.68x = 13,710.78 × 4,456.98
  4. Step 4: Simplify right side
    9,141.68x = 61,108,672.24
  5. Step 5: Solve for x
    x = 61,108,672.24/9,141.68
  6. Step 6: Final answer
    x = 6,684.63

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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.