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Finding the Fourth Proportional to 9,123.34, 13,684.52 and 2,798.20

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Solution

The fourth proportional to 9,123.34, 13,684.52 and 2,798.20 is: 4,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.34 : 13,684.52 = 2,798.20 : x
  2. Step 2: Convert to fraction form
    9,123.34/13,684.52 = 2,798.20/x
  3. Step 3: Cross multiply
    9,123.34x = 13,684.52 × 2,798.20
  4. Step 4: Simplify right side
    9,123.34x = 38,292,023.86
  5. Step 5: Solve for x
    x = 38,292,023.86/9,123.34
  6. Step 6: Final answer
    x = 4,197.15

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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.