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Finding the Fourth Proportional to 9,498.25, 13,107.59 and 5,306.50

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Solution

The fourth proportional to 9,498.25, 13,107.59 and 5,306.50 is: 7,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.25 : 13,107.59 = 5,306.50 : x
  2. Step 2: Convert to fraction form
    9,498.25/13,107.59 = 5,306.50/x
  3. Step 3: Cross multiply
    9,498.25x = 13,107.59 × 5,306.50
  4. Step 4: Simplify right side
    9,498.25x = 69,555,426.34
  5. Step 5: Solve for x
    x = 69,555,426.34/9,498.25
  6. Step 6: Final answer
    x = 7,322.97

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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.