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Finding the Fourth Proportional to 9,870.72, 14,806.14 and 3,948.10

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Solution

The fourth proportional to 9,870.72, 14,806.14 and 3,948.10 is: 5,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.72 : 14,806.14 = 3,948.10 : x
  2. Step 2: Convert to fraction form
    9,870.72/14,806.14 = 3,948.10/x
  3. Step 3: Cross multiply
    9,870.72x = 14,806.14 × 3,948.10
  4. Step 4: Simplify right side
    9,870.72x = 58,456,154.65
  5. Step 5: Solve for x
    x = 58,456,154.65/9,870.72
  6. Step 6: Final answer
    x = 5,922.18

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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.