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Finding the Fourth Proportional to 9,002.34, 13,498.45 and 6,194.48

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Solution

The fourth proportional to 9,002.34, 13,498.45 and 6,194.48 is: 9,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.34 : 13,498.45 = 6,194.48 : x
  2. Step 2: Convert to fraction form
    9,002.34/13,498.45 = 6,194.48/x
  3. Step 3: Cross multiply
    9,002.34x = 13,498.45 × 6,194.48
  4. Step 4: Simplify right side
    9,002.34x = 83,615,795.58
  5. Step 5: Solve for x
    x = 83,615,795.58/9,002.34
  6. Step 6: Final answer
    x = 9,288.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.