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Finding the Fourth Proportional to 9,971.01, 14,956.56 and 2,574.96

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Solution

The fourth proportional to 9,971.01, 14,956.56 and 2,574.96 is: 3,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.01 : 14,956.56 = 2,574.96 : x
  2. Step 2: Convert to fraction form
    9,971.01/14,956.56 = 2,574.96/x
  3. Step 3: Cross multiply
    9,971.01x = 14,956.56 × 2,574.96
  4. Step 4: Simplify right side
    9,971.01x = 38,512,497.31
  5. Step 5: Solve for x
    x = 38,512,497.31/9,971.01
  6. Step 6: Final answer
    x = 3,862.45

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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.