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Finding the Fourth Proportional to 9,956.25, 14,924.34 and 6,261.12

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Solution

The fourth proportional to 9,956.25, 14,924.34 and 6,261.12 is: 9,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.25 : 14,924.34 = 6,261.12 : x
  2. Step 2: Convert to fraction form
    9,956.25/14,924.34 = 6,261.12/x
  3. Step 3: Cross multiply
    9,956.25x = 14,924.34 × 6,261.12
  4. Step 4: Simplify right side
    9,956.25x = 93,443,083.66
  5. Step 5: Solve for x
    x = 93,443,083.66/9,956.25
  6. Step 6: Final answer
    x = 9,385.37

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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.