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Finding the Fourth Proportional to 9,415.54, 13,002.22 and 6,064.18

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Solution

The fourth proportional to 9,415.54, 13,002.22 and 6,064.18 is: 8,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.54 : 13,002.22 = 6,064.18 : x
  2. Step 2: Convert to fraction form
    9,415.54/13,002.22 = 6,064.18/x
  3. Step 3: Cross multiply
    9,415.54x = 13,002.22 × 6,064.18
  4. Step 4: Simplify right side
    9,415.54x = 78,847,850.69
  5. Step 5: Solve for x
    x = 78,847,850.69/9,415.54
  6. Step 6: Final answer
    x = 8,374.22

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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.