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Finding the Fourth Proportional to 6,848.88, 9,456.18 and 5,252.76

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Solution

The fourth proportional to 6,848.88, 9,456.18 and 5,252.76 is: 7,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.88 : 9,456.18 = 5,252.76 : x
  2. Step 2: Convert to fraction form
    6,848.88/9,456.18 = 5,252.76/x
  3. Step 3: Cross multiply
    6,848.88x = 9,456.18 × 5,252.76
  4. Step 4: Simplify right side
    6,848.88x = 49,671,044.06
  5. Step 5: Solve for x
    x = 49,671,044.06/6,848.88
  6. Step 6: Final answer
    x = 7,252.43

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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.