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Finding the Fourth Proportional to 9,463.80, 13,059.09 and 5,486.16

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Solution

The fourth proportional to 9,463.80, 13,059.09 and 5,486.16 is: 7,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.80 : 13,059.09 = 5,486.16 : x
  2. Step 2: Convert to fraction form
    9,463.80/13,059.09 = 5,486.16/x
  3. Step 3: Cross multiply
    9,463.80x = 13,059.09 × 5,486.16
  4. Step 4: Simplify right side
    9,463.80x = 71,644,257.19
  5. Step 5: Solve for x
    x = 71,644,257.19/9,463.80
  6. Step 6: Final answer
    x = 7,570.35

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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.