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Finding the Fourth Proportional to 7,239.81, 9,996.03 and 5,648.18

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Solution

The fourth proportional to 7,239.81, 9,996.03 and 5,648.18 is: 7,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.81 : 9,996.03 = 5,648.18 : x
  2. Step 2: Convert to fraction form
    7,239.81/9,996.03 = 5,648.18/x
  3. Step 3: Cross multiply
    7,239.81x = 9,996.03 × 5,648.18
  4. Step 4: Simplify right side
    7,239.81x = 56,459,398.86
  5. Step 5: Solve for x
    x = 56,459,398.86/7,239.81
  6. Step 6: Final answer
    x = 7,798.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.