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Finding the Fourth Proportional to 9,726.59, 14,592.19 and 3,152.78

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Solution

The fourth proportional to 9,726.59, 14,592.19 and 3,152.78 is: 4,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.59 : 14,592.19 = 3,152.78 : x
  2. Step 2: Convert to fraction form
    9,726.59/14,592.19 = 3,152.78/x
  3. Step 3: Cross multiply
    9,726.59x = 14,592.19 × 3,152.78
  4. Step 4: Simplify right side
    9,726.59x = 46,005,964.79
  5. Step 5: Solve for x
    x = 46,005,964.79/9,726.59
  6. Step 6: Final answer
    x = 4,729.92

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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.