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Finding the Fourth Proportional to 9,166.55, 13,718.65 and 5,658.77

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Solution

The fourth proportional to 9,166.55, 13,718.65 and 5,658.77 is: 8,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.55 : 13,718.65 = 5,658.77 : x
  2. Step 2: Convert to fraction form
    9,166.55/13,718.65 = 5,658.77/x
  3. Step 3: Cross multiply
    9,166.55x = 13,718.65 × 5,658.77
  4. Step 4: Simplify right side
    9,166.55x = 77,630,685.06
  5. Step 5: Solve for x
    x = 77,630,685.06/9,166.55
  6. Step 6: Final answer
    x = 8,468.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.