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Finding the Fourth Proportional to 9,316.42, 12,854.30 and 5,540.40

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Solution

The fourth proportional to 9,316.42, 12,854.30 and 5,540.40 is: 7,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.42 : 12,854.30 = 5,540.40 : x
  2. Step 2: Convert to fraction form
    9,316.42/12,854.30 = 5,540.40/x
  3. Step 3: Cross multiply
    9,316.42x = 12,854.30 × 5,540.40
  4. Step 4: Simplify right side
    9,316.42x = 71,217,936.02
  5. Step 5: Solve for x
    x = 71,217,936.02/9,316.42
  6. Step 6: Final answer
    x = 7,644.35

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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.