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Finding the Fourth Proportional to 9,785.41, 13,503.72 and 5,309.17

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Solution

The fourth proportional to 9,785.41, 13,503.72 and 5,309.17 is: 7,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.41 : 13,503.72 = 5,309.17 : x
  2. Step 2: Convert to fraction form
    9,785.41/13,503.72 = 5,309.17/x
  3. Step 3: Cross multiply
    9,785.41x = 13,503.72 × 5,309.17
  4. Step 4: Simplify right side
    9,785.41x = 71,693,545.11
  5. Step 5: Solve for x
    x = 71,693,545.11/9,785.41
  6. Step 6: Final answer
    x = 7,326.58

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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.