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Finding the Fourth Proportional to 9,322.04, 13,985 and 2,747.68

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Solution

The fourth proportional to 9,322.04, 13,985 and 2,747.68 is: 4,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.04 : 13,985 = 2,747.68 : x
  2. Step 2: Convert to fraction form
    9,322.04/13,985 = 2,747.68/x
  3. Step 3: Cross multiply
    9,322.04x = 13,985 × 2,747.68
  4. Step 4: Simplify right side
    9,322.04x = 38,426,304.80
  5. Step 5: Solve for x
    x = 38,426,304.80/9,322.04
  6. Step 6: Final answer
    x = 4,122.09

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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.