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Finding the Fourth Proportional to 9,498.09, 13,107.65 and 5,306.25

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Solution

The fourth proportional to 9,498.09, 13,107.65 and 5,306.25 is: 7,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.09 : 13,107.65 = 5,306.25 : x
  2. Step 2: Convert to fraction form
    9,498.09/13,107.65 = 5,306.25/x
  3. Step 3: Cross multiply
    9,498.09x = 13,107.65 × 5,306.25
  4. Step 4: Simplify right side
    9,498.09x = 69,552,467.81
  5. Step 5: Solve for x
    x = 69,552,467.81/9,498.09
  6. Step 6: Final answer
    x = 7,322.78

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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.