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Finding the Fourth Proportional to 6,830.76, 9,424.71 and 4,177.20

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Solution

The fourth proportional to 6,830.76, 9,424.71 and 4,177.20 is: 5,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.76 : 9,424.71 = 4,177.20 : x
  2. Step 2: Convert to fraction form
    6,830.76/9,424.71 = 4,177.20/x
  3. Step 3: Cross multiply
    6,830.76x = 9,424.71 × 4,177.20
  4. Step 4: Simplify right side
    6,830.76x = 39,368,898.61
  5. Step 5: Solve for x
    x = 39,368,898.61/6,830.76
  6. Step 6: Final answer
    x = 5,763.47

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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.