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Finding the Fourth Proportional to 9,964.59, 14,947.80 and 2,569.08

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Solution

The fourth proportional to 9,964.59, 14,947.80 and 2,569.08 is: 3,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.59 : 14,947.80 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    9,964.59/14,947.80 = 2,569.08/x
  3. Step 3: Cross multiply
    9,964.59x = 14,947.80 × 2,569.08
  4. Step 4: Simplify right side
    9,964.59x = 38,402,094.02
  5. Step 5: Solve for x
    x = 38,402,094.02/9,964.59
  6. Step 6: Final answer
    x = 3,853.86

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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.