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Finding the Fourth Proportional to 9,654.44, 13,320.78 and 5,675.72

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Solution

The fourth proportional to 9,654.44, 13,320.78 and 5,675.72 is: 7,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.44 : 13,320.78 = 5,675.72 : x
  2. Step 2: Convert to fraction form
    9,654.44/13,320.78 = 5,675.72/x
  3. Step 3: Cross multiply
    9,654.44x = 13,320.78 × 5,675.72
  4. Step 4: Simplify right side
    9,654.44x = 75,605,017.46
  5. Step 5: Solve for x
    x = 75,605,017.46/9,654.44
  6. Step 6: Final answer
    x = 7,831.11

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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.