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Finding the Fourth Proportional to 9,648.90, 13,315.74 and 5,399.82

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Solution

The fourth proportional to 9,648.90, 13,315.74 and 5,399.82 is: 7,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.90 : 13,315.74 = 5,399.82 : x
  2. Step 2: Convert to fraction form
    9,648.90/13,315.74 = 5,399.82/x
  3. Step 3: Cross multiply
    9,648.90x = 13,315.74 × 5,399.82
  4. Step 4: Simplify right side
    9,648.90x = 71,902,599.17
  5. Step 5: Solve for x
    x = 71,902,599.17/9,648.90
  6. Step 6: Final answer
    x = 7,451.90

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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.