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Finding the Fourth Proportional to 9,891.05, 14,834.25 and 2,869.20

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Solution

The fourth proportional to 9,891.05, 14,834.25 and 2,869.20 is: 4,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.05 : 14,834.25 = 2,869.20 : x
  2. Step 2: Convert to fraction form
    9,891.05/14,834.25 = 2,869.20/x
  3. Step 3: Cross multiply
    9,891.05x = 14,834.25 × 2,869.20
  4. Step 4: Simplify right side
    9,891.05x = 42,562,430.10
  5. Step 5: Solve for x
    x = 42,562,430.10/9,891.05
  6. Step 6: Final answer
    x = 4,303.13

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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.