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Finding the Fourth Proportional to 6,521.40, 9,758.71 and 5,646.92

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Solution

The fourth proportional to 6,521.40, 9,758.71 and 5,646.92 is: 8,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.40 : 9,758.71 = 5,646.92 : x
  2. Step 2: Convert to fraction form
    6,521.40/9,758.71 = 5,646.92/x
  3. Step 3: Cross multiply
    6,521.40x = 9,758.71 × 5,646.92
  4. Step 4: Simplify right side
    6,521.40x = 55,106,654.67
  5. Step 5: Solve for x
    x = 55,106,654.67/6,521.40
  6. Step 6: Final answer
    x = 8,450.13

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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.