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Finding the Fourth Proportional to 9,464.58, 13,061.13 and 5,486.46

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Solution

The fourth proportional to 9,464.58, 13,061.13 and 5,486.46 is: 7,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.58 : 13,061.13 = 5,486.46 : x
  2. Step 2: Convert to fraction form
    9,464.58/13,061.13 = 5,486.46/x
  3. Step 3: Cross multiply
    9,464.58x = 13,061.13 × 5,486.46
  4. Step 4: Simplify right side
    9,464.58x = 71,659,367.30
  5. Step 5: Solve for x
    x = 71,659,367.30/9,464.58
  6. Step 6: Final answer
    x = 7,571.32

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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.