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Finding the Fourth Proportional to 9,862.20, 14,822.10 and 9,689.40

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Solution

The fourth proportional to 9,862.20, 14,822.10 and 9,689.40 is: 14,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.20 : 14,822.10 = 9,689.40 : x
  2. Step 2: Convert to fraction form
    9,862.20/14,822.10 = 9,689.40/x
  3. Step 3: Cross multiply
    9,862.20x = 14,822.10 × 9,689.40
  4. Step 4: Simplify right side
    9,862.20x = 143,617,255.74
  5. Step 5: Solve for x
    x = 143,617,255.74/9,862.20
  6. Step 6: Final answer
    x = 14,562.40

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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.