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Finding the Fourth Proportional to 9,178.52, 12,661.77 and 7,158.27

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Solution

The fourth proportional to 9,178.52, 12,661.77 and 7,158.27 is: 9,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.52 : 12,661.77 = 7,158.27 : x
  2. Step 2: Convert to fraction form
    9,178.52/12,661.77 = 7,158.27/x
  3. Step 3: Cross multiply
    9,178.52x = 12,661.77 × 7,158.27
  4. Step 4: Simplify right side
    9,178.52x = 90,636,402.40
  5. Step 5: Solve for x
    x = 90,636,402.40/9,178.52
  6. Step 6: Final answer
    x = 9,874.84

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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.