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Finding the Fourth Proportional to 6,477.72, 9,726.30 and 3,707.52

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Solution

The fourth proportional to 6,477.72, 9,726.30 and 3,707.52 is: 5,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.72 : 9,726.30 = 3,707.52 : x
  2. Step 2: Convert to fraction form
    6,477.72/9,726.30 = 3,707.52/x
  3. Step 3: Cross multiply
    6,477.72x = 9,726.30 × 3,707.52
  4. Step 4: Simplify right side
    6,477.72x = 36,060,451.78
  5. Step 5: Solve for x
    x = 36,060,451.78/6,477.72
  6. Step 6: Final answer
    x = 5,566.84

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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.