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Finding the Fourth Proportional to 9,130.97, 12,608.43 and 6,156.65

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Solution

The fourth proportional to 9,130.97, 12,608.43 and 6,156.65 is: 8,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.97 : 12,608.43 = 6,156.65 : x
  2. Step 2: Convert to fraction form
    9,130.97/12,608.43 = 6,156.65/x
  3. Step 3: Cross multiply
    9,130.97x = 12,608.43 × 6,156.65
  4. Step 4: Simplify right side
    9,130.97x = 77,625,690.56
  5. Step 5: Solve for x
    x = 77,625,690.56/9,130.97
  6. Step 6: Final answer
    x = 8,501.36

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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.