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Finding the Fourth Proportional to 9,715.95, 14,575.83 and 3,873.15

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Solution

The fourth proportional to 9,715.95, 14,575.83 and 3,873.15 is: 5,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.95 : 14,575.83 = 3,873.15 : x
  2. Step 2: Convert to fraction form
    9,715.95/14,575.83 = 3,873.15/x
  3. Step 3: Cross multiply
    9,715.95x = 14,575.83 × 3,873.15
  4. Step 4: Simplify right side
    9,715.95x = 56,454,375.96
  5. Step 5: Solve for x
    x = 56,454,375.96/9,715.95
  6. Step 6: Final answer
    x = 5,810.48

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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.