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Finding the Fourth Proportional to 6,117.30, 9,175.95 and 4,659.30

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Solution

The fourth proportional to 6,117.30, 9,175.95 and 4,659.30 is: 6,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.30 : 9,175.95 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    6,117.30/9,175.95 = 4,659.30/x
  3. Step 3: Cross multiply
    6,117.30x = 9,175.95 × 4,659.30
  4. Step 4: Simplify right side
    6,117.30x = 42,753,503.84
  5. Step 5: Solve for x
    x = 42,753,503.84/6,117.30
  6. Step 6: Final answer
    x = 6,988.95

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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.