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Finding the Fourth Proportional to 9,109.61, 12,574.79 and 7,120.81

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Solution

The fourth proportional to 9,109.61, 12,574.79 and 7,120.81 is: 9,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.61 : 12,574.79 = 7,120.81 : x
  2. Step 2: Convert to fraction form
    9,109.61/12,574.79 = 7,120.81/x
  3. Step 3: Cross multiply
    9,109.61x = 12,574.79 × 7,120.81
  4. Step 4: Simplify right side
    9,109.61x = 89,542,737.25
  5. Step 5: Solve for x
    x = 89,542,737.25/9,109.61
  6. Step 6: Final answer
    x = 9,829.48

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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.