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Finding the Fourth Proportional to 9,574.68, 13,207.22 and 6,737.04

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Solution

The fourth proportional to 9,574.68, 13,207.22 and 6,737.04 is: 9,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.68 : 13,207.22 = 6,737.04 : x
  2. Step 2: Convert to fraction form
    9,574.68/13,207.22 = 6,737.04/x
  3. Step 3: Cross multiply
    9,574.68x = 13,207.22 × 6,737.04
  4. Step 4: Simplify right side
    9,574.68x = 88,977,569.43
  5. Step 5: Solve for x
    x = 88,977,569.43/9,574.68
  6. Step 6: Final answer
    x = 9,293.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.