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Finding the Fourth Proportional to 9,257.66, 13,878.28 and 7,076.12

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Solution

The fourth proportional to 9,257.66, 13,878.28 and 7,076.12 is: 10,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.66 : 13,878.28 = 7,076.12 : x
  2. Step 2: Convert to fraction form
    9,257.66/13,878.28 = 7,076.12/x
  3. Step 3: Cross multiply
    9,257.66x = 13,878.28 × 7,076.12
  4. Step 4: Simplify right side
    9,257.66x = 98,204,339.29
  5. Step 5: Solve for x
    x = 98,204,339.29/9,257.66
  6. Step 6: Final answer
    x = 10,607.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.