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Finding the Fourth Proportional to 9,290.40, 13,937.16 and 4,610.64

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Solution

The fourth proportional to 9,290.40, 13,937.16 and 4,610.64 is: 6,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.40 : 13,937.16 = 4,610.64 : x
  2. Step 2: Convert to fraction form
    9,290.40/13,937.16 = 4,610.64/x
  3. Step 3: Cross multiply
    9,290.40x = 13,937.16 × 4,610.64
  4. Step 4: Simplify right side
    9,290.40x = 64,259,227.38
  5. Step 5: Solve for x
    x = 64,259,227.38/9,290.40
  6. Step 6: Final answer
    x = 6,916.73

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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.