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Finding the Fourth Proportional to 9,658.17, 13,323.58 and 6,077.57

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Solution

The fourth proportional to 9,658.17, 13,323.58 and 6,077.57 is: 8,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.17 : 13,323.58 = 6,077.57 : x
  2. Step 2: Convert to fraction form
    9,658.17/13,323.58 = 6,077.57/x
  3. Step 3: Cross multiply
    9,658.17x = 13,323.58 × 6,077.57
  4. Step 4: Simplify right side
    9,658.17x = 80,974,990.10
  5. Step 5: Solve for x
    x = 80,974,990.10/9,658.17
  6. Step 6: Final answer
    x = 8,384.09

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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.