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Finding the Fourth Proportional to 7,047.54, 9,702.18 and 6,116.04

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Solution

The fourth proportional to 7,047.54, 9,702.18 and 6,116.04 is: 8,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.54 : 9,702.18 = 6,116.04 : x
  2. Step 2: Convert to fraction form
    7,047.54/9,702.18 = 6,116.04/x
  3. Step 3: Cross multiply
    7,047.54x = 9,702.18 × 6,116.04
  4. Step 4: Simplify right side
    7,047.54x = 59,338,920.97
  5. Step 5: Solve for x
    x = 59,338,920.97/7,047.54
  6. Step 6: Final answer
    x = 8,419.81

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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.