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Finding the Fourth Proportional to 6,496.16, 9,744.48 and 6,159.20

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Solution

The fourth proportional to 6,496.16, 9,744.48 and 6,159.20 is: 9,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.16 : 9,744.48 = 6,159.20 : x
  2. Step 2: Convert to fraction form
    6,496.16/9,744.48 = 6,159.20/x
  3. Step 3: Cross multiply
    6,496.16x = 9,744.48 × 6,159.20
  4. Step 4: Simplify right side
    6,496.16x = 60,018,201.22
  5. Step 5: Solve for x
    x = 60,018,201.22/6,496.16
  6. Step 6: Final answer
    x = 9,239.03

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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.