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Finding the Fourth Proportional to 9,869.88, 14,807.70 and 5,763

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Solution

The fourth proportional to 9,869.88, 14,807.70 and 5,763 is: 8,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.88 : 14,807.70 = 5,763 : x
  2. Step 2: Convert to fraction form
    9,869.88/14,807.70 = 5,763/x
  3. Step 3: Cross multiply
    9,869.88x = 14,807.70 × 5,763
  4. Step 4: Simplify right side
    9,869.88x = 85,336,775.10
  5. Step 5: Solve for x
    x = 85,336,775.10/9,869.88
  6. Step 6: Final answer
    x = 8,646.18

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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.