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Finding the Fourth Proportional to 9,966.38, 14,950.44 and 2,570.78

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Solution

The fourth proportional to 9,966.38, 14,950.44 and 2,570.78 is: 3,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.38 : 14,950.44 = 2,570.78 : x
  2. Step 2: Convert to fraction form
    9,966.38/14,950.44 = 2,570.78/x
  3. Step 3: Cross multiply
    9,966.38x = 14,950.44 × 2,570.78
  4. Step 4: Simplify right side
    9,966.38x = 38,434,292.14
  5. Step 5: Solve for x
    x = 38,434,292.14/9,966.38
  6. Step 6: Final answer
    x = 3,856.39

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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.