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Finding the Fourth Proportional to 6,523.17, 9,780.49 and 4,295.26

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Solution

The fourth proportional to 6,523.17, 9,780.49 and 4,295.26 is: 6,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.17 : 9,780.49 = 4,295.26 : x
  2. Step 2: Convert to fraction form
    6,523.17/9,780.49 = 4,295.26/x
  3. Step 3: Cross multiply
    6,523.17x = 9,780.49 × 4,295.26
  4. Step 4: Simplify right side
    6,523.17x = 42,009,747.48
  5. Step 5: Solve for x
    x = 42,009,747.48/6,523.17
  6. Step 6: Final answer
    x = 6,440.08

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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.