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Finding the Fourth Proportional to 6,521.47, 9,764.82 and 4,445.55

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Solution

The fourth proportional to 6,521.47, 9,764.82 and 4,445.55 is: 6,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.47 : 9,764.82 = 4,445.55 : x
  2. Step 2: Convert to fraction form
    6,521.47/9,764.82 = 4,445.55/x
  3. Step 3: Cross multiply
    6,521.47x = 9,764.82 × 4,445.55
  4. Step 4: Simplify right side
    6,521.47x = 43,409,995.55
  5. Step 5: Solve for x
    x = 43,409,995.55/6,521.47
  6. Step 6: Final answer
    x = 6,656.48

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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.