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Finding the Fourth Proportional to 7,086.78, 9,774.76 and 6,140.88

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Solution

The fourth proportional to 7,086.78, 9,774.76 and 6,140.88 is: 8,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.78 : 9,774.76 = 6,140.88 : x
  2. Step 2: Convert to fraction form
    7,086.78/9,774.76 = 6,140.88/x
  3. Step 3: Cross multiply
    7,086.78x = 9,774.76 × 6,140.88
  4. Step 4: Simplify right side
    7,086.78x = 60,025,628.19
  5. Step 5: Solve for x
    x = 60,025,628.19/7,086.78
  6. Step 6: Final answer
    x = 8,470.08

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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.