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Finding the Fourth Proportional to 9,089.82, 12,543.81 and 5,056.61

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Solution

The fourth proportional to 9,089.82, 12,543.81 and 5,056.61 is: 6,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.82 : 12,543.81 = 5,056.61 : x
  2. Step 2: Convert to fraction form
    9,089.82/12,543.81 = 5,056.61/x
  3. Step 3: Cross multiply
    9,089.82x = 12,543.81 × 5,056.61
  4. Step 4: Simplify right side
    9,089.82x = 63,429,092.37
  5. Step 5: Solve for x
    x = 63,429,092.37/9,089.82
  6. Step 6: Final answer
    x = 6,978.04

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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.