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Finding the Fourth Proportional to 9,877.67, 14,814.30 and 2,856.15

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Solution

The fourth proportional to 9,877.67, 14,814.30 and 2,856.15 is: 4,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.67 : 14,814.30 = 2,856.15 : x
  2. Step 2: Convert to fraction form
    9,877.67/14,814.30 = 2,856.15/x
  3. Step 3: Cross multiply
    9,877.67x = 14,814.30 × 2,856.15
  4. Step 4: Simplify right side
    9,877.67x = 42,311,862.95
  5. Step 5: Solve for x
    x = 42,311,862.95/9,877.67
  6. Step 6: Final answer
    x = 4,283.59

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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.