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Finding the Fourth Proportional to 6,521.65, 9,774.92 and 3,004.28

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Solution

The fourth proportional to 6,521.65, 9,774.92 and 3,004.28 is: 4,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.65 : 9,774.92 = 3,004.28 : x
  2. Step 2: Convert to fraction form
    6,521.65/9,774.92 = 3,004.28/x
  3. Step 3: Cross multiply
    6,521.65x = 9,774.92 × 3,004.28
  4. Step 4: Simplify right side
    6,521.65x = 29,366,591.95
  5. Step 5: Solve for x
    x = 29,366,591.95/6,521.65
  6. Step 6: Final answer
    x = 4,502.94

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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.