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Finding the Fourth Proportional to 9,706.32, 13,394.88 and 5,514.48

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Solution

The fourth proportional to 9,706.32, 13,394.88 and 5,514.48 is: 7,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.32 : 13,394.88 = 5,514.48 : x
  2. Step 2: Convert to fraction form
    9,706.32/13,394.88 = 5,514.48/x
  3. Step 3: Cross multiply
    9,706.32x = 13,394.88 × 5,514.48
  4. Step 4: Simplify right side
    9,706.32x = 73,865,797.86
  5. Step 5: Solve for x
    x = 73,865,797.86/9,706.32
  6. Step 6: Final answer
    x = 7,610.07

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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.