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Finding the Fourth Proportional to 9,508.40, 13,121.16 and 5,259.50

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Solution

The fourth proportional to 9,508.40, 13,121.16 and 5,259.50 is: 7,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.40 : 13,121.16 = 5,259.50 : x
  2. Step 2: Convert to fraction form
    9,508.40/13,121.16 = 5,259.50/x
  3. Step 3: Cross multiply
    9,508.40x = 13,121.16 × 5,259.50
  4. Step 4: Simplify right side
    9,508.40x = 69,010,741.02
  5. Step 5: Solve for x
    x = 69,010,741.02/9,508.40
  6. Step 6: Final answer
    x = 7,257.87

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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.