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Finding the Fourth Proportional to 7,302.83, 10,963.66 and 6,269.47

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Solution

The fourth proportional to 7,302.83, 10,963.66 and 6,269.47 is: 9,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.83 : 10,963.66 = 6,269.47 : x
  2. Step 2: Convert to fraction form
    7,302.83/10,963.66 = 6,269.47/x
  3. Step 3: Cross multiply
    7,302.83x = 10,963.66 × 6,269.47
  4. Step 4: Simplify right side
    7,302.83x = 68,736,337.46
  5. Step 5: Solve for x
    x = 68,736,337.46/7,302.83
  6. Step 6: Final answer
    x = 9,412.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.