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Finding the Fourth Proportional to 9,116.62, 13,699.64 and 4,959.70

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Solution

The fourth proportional to 9,116.62, 13,699.64 and 4,959.70 is: 7,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.62 : 13,699.64 = 4,959.70 : x
  2. Step 2: Convert to fraction form
    9,116.62/13,699.64 = 4,959.70/x
  3. Step 3: Cross multiply
    9,116.62x = 13,699.64 × 4,959.70
  4. Step 4: Simplify right side
    9,116.62x = 67,946,115.43
  5. Step 5: Solve for x
    x = 67,946,115.43/9,116.62
  6. Step 6: Final answer
    x = 7,452.99

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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.