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Finding the Fourth Proportional to 9,234.78, 13,864.44 and 4,307.87

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Solution

The fourth proportional to 9,234.78, 13,864.44 and 4,307.87 is: 6,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.78 : 13,864.44 = 4,307.87 : x
  2. Step 2: Convert to fraction form
    9,234.78/13,864.44 = 4,307.87/x
  3. Step 3: Cross multiply
    9,234.78x = 13,864.44 × 4,307.87
  4. Step 4: Simplify right side
    9,234.78x = 59,726,135.82
  5. Step 5: Solve for x
    x = 59,726,135.82/9,234.78
  6. Step 6: Final answer
    x = 6,467.52

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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.