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Finding the Fourth Proportional to 9,188.52, 12,677.94 and 5,830.08

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Solution

The fourth proportional to 9,188.52, 12,677.94 and 5,830.08 is: 8,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.52 : 12,677.94 = 5,830.08 : x
  2. Step 2: Convert to fraction form
    9,188.52/12,677.94 = 5,830.08/x
  3. Step 3: Cross multiply
    9,188.52x = 12,677.94 × 5,830.08
  4. Step 4: Simplify right side
    9,188.52x = 73,913,404.44
  5. Step 5: Solve for x
    x = 73,913,404.44/9,188.52
  6. Step 6: Final answer
    x = 8,044.10

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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.