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Finding the Fourth Proportional to 9,079.84, 13,670.24 and 7,116.24

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Solution

The fourth proportional to 9,079.84, 13,670.24 and 7,116.24 is: 10,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.84 : 13,670.24 = 7,116.24 : x
  2. Step 2: Convert to fraction form
    9,079.84/13,670.24 = 7,116.24/x
  3. Step 3: Cross multiply
    9,079.84x = 13,670.24 × 7,116.24
  4. Step 4: Simplify right side
    9,079.84x = 97,280,708.70
  5. Step 5: Solve for x
    x = 97,280,708.70/9,079.84
  6. Step 6: Final answer
    x = 10,713.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.