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Finding the Fourth Proportional to 9,071.12, 12,513.04 and 6,238.16

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Solution

The fourth proportional to 9,071.12, 12,513.04 and 6,238.16 is: 8,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.12 : 12,513.04 = 6,238.16 : x
  2. Step 2: Convert to fraction form
    9,071.12/12,513.04 = 6,238.16/x
  3. Step 3: Cross multiply
    9,071.12x = 12,513.04 × 6,238.16
  4. Step 4: Simplify right side
    9,071.12x = 78,058,345.61
  5. Step 5: Solve for x
    x = 78,058,345.61/9,071.12
  6. Step 6: Final answer
    x = 8,605.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.