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Finding the Fourth Proportional to 9,424.92, 13,004.70 and 6,111

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Solution

The fourth proportional to 9,424.92, 13,004.70 and 6,111 is: 8,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.92 : 13,004.70 = 6,111 : x
  2. Step 2: Convert to fraction form
    9,424.92/13,004.70 = 6,111/x
  3. Step 3: Cross multiply
    9,424.92x = 13,004.70 × 6,111
  4. Step 4: Simplify right side
    9,424.92x = 79,471,721.70
  5. Step 5: Solve for x
    x = 79,471,721.70/9,424.92
  6. Step 6: Final answer
    x = 8,432.08

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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.