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Finding the Fourth Proportional to 7,123.47, 9,833.10 and 6,376.09

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Solution

The fourth proportional to 7,123.47, 9,833.10 and 6,376.09 is: 8,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.47 : 9,833.10 = 6,376.09 : x
  2. Step 2: Convert to fraction form
    7,123.47/9,833.10 = 6,376.09/x
  3. Step 3: Cross multiply
    7,123.47x = 9,833.10 × 6,376.09
  4. Step 4: Simplify right side
    7,123.47x = 62,696,730.58
  5. Step 5: Solve for x
    x = 62,696,730.58/7,123.47
  6. Step 6: Final answer
    x = 8,801.43

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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.