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Finding the Fourth Proportional to 9,118.86, 12,586.80 and 5,342.91

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Solution

The fourth proportional to 9,118.86, 12,586.80 and 5,342.91 is: 7,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.86 : 12,586.80 = 5,342.91 : x
  2. Step 2: Convert to fraction form
    9,118.86/12,586.80 = 5,342.91/x
  3. Step 3: Cross multiply
    9,118.86x = 12,586.80 × 5,342.91
  4. Step 4: Simplify right side
    9,118.86x = 67,250,139.59
  5. Step 5: Solve for x
    x = 67,250,139.59/9,118.86
  6. Step 6: Final answer
    x = 7,374.84

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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.