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Finding the Fourth Proportional to 9,874.01, 14,734.60 and 8,822.59

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Solution

The fourth proportional to 9,874.01, 14,734.60 and 8,822.59 is: 13,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.01 : 14,734.60 = 8,822.59 : x
  2. Step 2: Convert to fraction form
    9,874.01/14,734.60 = 8,822.59/x
  3. Step 3: Cross multiply
    9,874.01x = 14,734.60 × 8,822.59
  4. Step 4: Simplify right side
    9,874.01x = 129,997,275.72
  5. Step 5: Solve for x
    x = 129,997,275.72/9,874.01
  6. Step 6: Final answer
    x = 13,165.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.