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Finding the Fourth Proportional to 9,707.10, 13,391.91 and 6,120.88

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Solution

The fourth proportional to 9,707.10, 13,391.91 and 6,120.88 is: 8,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.10 : 13,391.91 = 6,120.88 : x
  2. Step 2: Convert to fraction form
    9,707.10/13,391.91 = 6,120.88/x
  3. Step 3: Cross multiply
    9,707.10x = 13,391.91 × 6,120.88
  4. Step 4: Simplify right side
    9,707.10x = 81,970,274.08
  5. Step 5: Solve for x
    x = 81,970,274.08/9,707.10
  6. Step 6: Final answer
    x = 8,444.36

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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.