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Finding the Fourth Proportional to 9,106.31, 12,574.29 and 6,131.99

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Solution

The fourth proportional to 9,106.31, 12,574.29 and 6,131.99 is: 8,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.31 : 12,574.29 = 6,131.99 : x
  2. Step 2: Convert to fraction form
    9,106.31/12,574.29 = 6,131.99/x
  3. Step 3: Cross multiply
    9,106.31x = 12,574.29 × 6,131.99
  4. Step 4: Simplify right side
    9,106.31x = 77,105,357.67
  5. Step 5: Solve for x
    x = 77,105,357.67/9,106.31
  6. Step 6: Final answer
    x = 8,467.25

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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.