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Finding the Fourth Proportional to 11,569.24, 15,954.06 and 9,323.92

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Solution

The fourth proportional to 11,569.24, 15,954.06 and 9,323.92 is: 12,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.24 : 15,954.06 = 9,323.92 : x
  2. Step 2: Convert to fraction form
    11,569.24/15,954.06 = 9,323.92/x
  3. Step 3: Cross multiply
    11,569.24x = 15,954.06 × 9,323.92
  4. Step 4: Simplify right side
    11,569.24x = 148,754,379.12
  5. Step 5: Solve for x
    x = 148,754,379.12/11,569.24
  6. Step 6: Final answer
    x = 12,857.75

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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.