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Finding the Fourth Proportional to 7,046.17, 9,718.27 and 4,921

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Solution

The fourth proportional to 7,046.17, 9,718.27 and 4,921 is: 6,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.17 : 9,718.27 = 4,921 : x
  2. Step 2: Convert to fraction form
    7,046.17/9,718.27 = 4,921/x
  3. Step 3: Cross multiply
    7,046.17x = 9,718.27 × 4,921
  4. Step 4: Simplify right side
    7,046.17x = 47,823,606.67
  5. Step 5: Solve for x
    x = 47,823,606.67/7,046.17
  6. Step 6: Final answer
    x = 6,787.18

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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.