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Finding the Fourth Proportional to 9,966.24, 13,744.08 and 7,875.36

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Solution

The fourth proportional to 9,966.24, 13,744.08 and 7,875.36 is: 10,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.24 : 13,744.08 = 7,875.36 : x
  2. Step 2: Convert to fraction form
    9,966.24/13,744.08 = 7,875.36/x
  3. Step 3: Cross multiply
    9,966.24x = 13,744.08 × 7,875.36
  4. Step 4: Simplify right side
    9,966.24x = 108,239,577.87
  5. Step 5: Solve for x
    x = 108,239,577.87/9,966.24
  6. Step 6: Final answer
    x = 10,860.62

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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.