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Finding the Fourth Proportional to 7,052, 9,731.76 and 3,908.66

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Solution

The fourth proportional to 7,052, 9,731.76 and 3,908.66 is: 5,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 9,731.76 = 3,908.66 : x
  2. Step 2: Convert to fraction form
    7,052/9,731.76 = 3,908.66/x
  3. Step 3: Cross multiply
    7,052x = 9,731.76 × 3,908.66
  4. Step 4: Simplify right side
    7,052x = 38,038,141.04
  5. Step 5: Solve for x
    x = 38,038,141.04/7,052
  6. Step 6: Final answer
    x = 5,393.95

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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.