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Finding the Fourth Proportional to 6,972.76, 9,632.70 and 5,490.52

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Solution

The fourth proportional to 6,972.76, 9,632.70 and 5,490.52 is: 7,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.76 : 9,632.70 = 5,490.52 : x
  2. Step 2: Convert to fraction form
    6,972.76/9,632.70 = 5,490.52/x
  3. Step 3: Cross multiply
    6,972.76x = 9,632.70 × 5,490.52
  4. Step 4: Simplify right side
    6,972.76x = 52,888,532.00
  5. Step 5: Solve for x
    x = 52,888,532.00/6,972.76
  6. Step 6: Final answer
    x = 7,585.02

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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.