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Finding the Fourth Proportional to 9,498.48, 13,108 and 5,306.24

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Solution

The fourth proportional to 9,498.48, 13,108 and 5,306.24 is: 7,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.48 : 13,108 = 5,306.24 : x
  2. Step 2: Convert to fraction form
    9,498.48/13,108 = 5,306.24/x
  3. Step 3: Cross multiply
    9,498.48x = 13,108 × 5,306.24
  4. Step 4: Simplify right side
    9,498.48x = 69,554,193.92
  5. Step 5: Solve for x
    x = 69,554,193.92/9,498.48
  6. Step 6: Final answer
    x = 7,322.67

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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.