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Finding the Fourth Proportional to 9,178.44, 12,671.63 and 6,658.13

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Solution

The fourth proportional to 9,178.44, 12,671.63 and 6,658.13 is: 9,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.44 : 12,671.63 = 6,658.13 : x
  2. Step 2: Convert to fraction form
    9,178.44/12,671.63 = 6,658.13/x
  3. Step 3: Cross multiply
    9,178.44x = 12,671.63 × 6,658.13
  4. Step 4: Simplify right side
    9,178.44x = 84,369,263.20
  5. Step 5: Solve for x
    x = 84,369,263.20/9,178.44
  6. Step 6: Final answer
    x = 9,192.11

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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.