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Finding the Fourth Proportional to 9,468.48, 13,065.62 and 5,218.80

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Solution

The fourth proportional to 9,468.48, 13,065.62 and 5,218.80 is: 7,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.48 : 13,065.62 = 5,218.80 : x
  2. Step 2: Convert to fraction form
    9,468.48/13,065.62 = 5,218.80/x
  3. Step 3: Cross multiply
    9,468.48x = 13,065.62 × 5,218.80
  4. Step 4: Simplify right side
    9,468.48x = 68,186,857.66
  5. Step 5: Solve for x
    x = 68,186,857.66/9,468.48
  6. Step 6: Final answer
    x = 7,201.46

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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.