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Finding the Fourth Proportional to 7,070.24, 9,747.64 and 5,876.25

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Solution

The fourth proportional to 7,070.24, 9,747.64 and 5,876.25 is: 8,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.24 : 9,747.64 = 5,876.25 : x
  2. Step 2: Convert to fraction form
    7,070.24/9,747.64 = 5,876.25/x
  3. Step 3: Cross multiply
    7,070.24x = 9,747.64 × 5,876.25
  4. Step 4: Simplify right side
    7,070.24x = 57,279,540.34
  5. Step 5: Solve for x
    x = 57,279,540.34/7,070.24
  6. Step 6: Final answer
    x = 8,101.50

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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.