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Finding the Fourth Proportional to 9,307.92, 12,844.86 and 5,116.08

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Solution

The fourth proportional to 9,307.92, 12,844.86 and 5,116.08 is: 7,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.92 : 12,844.86 = 5,116.08 : x
  2. Step 2: Convert to fraction form
    9,307.92/12,844.86 = 5,116.08/x
  3. Step 3: Cross multiply
    9,307.92x = 12,844.86 × 5,116.08
  4. Step 4: Simplify right side
    9,307.92x = 65,715,331.35
  5. Step 5: Solve for x
    x = 65,715,331.35/9,307.92
  6. Step 6: Final answer
    x = 7,060.15

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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.