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Finding the Fourth Proportional to 9,545.74, 13,177.64 and 6,364.35

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Solution

The fourth proportional to 9,545.74, 13,177.64 and 6,364.35 is: 8,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.74 : 13,177.64 = 6,364.35 : x
  2. Step 2: Convert to fraction form
    9,545.74/13,177.64 = 6,364.35/x
  3. Step 3: Cross multiply
    9,545.74x = 13,177.64 × 6,364.35
  4. Step 4: Simplify right side
    9,545.74x = 83,867,129.04
  5. Step 5: Solve for x
    x = 83,867,129.04/9,545.74
  6. Step 6: Final answer
    x = 8,785.82

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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.