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Finding the Fourth Proportional to 6,901.51, 9,524.32 and 3,877.16

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Solution

The fourth proportional to 6,901.51, 9,524.32 and 3,877.16 is: 5,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.51 : 9,524.32 = 3,877.16 : x
  2. Step 2: Convert to fraction form
    6,901.51/9,524.32 = 3,877.16/x
  3. Step 3: Cross multiply
    6,901.51x = 9,524.32 × 3,877.16
  4. Step 4: Simplify right side
    6,901.51x = 36,927,326.65
  5. Step 5: Solve for x
    x = 36,927,326.65/6,901.51
  6. Step 6: Final answer
    x = 5,350.61

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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.