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Finding the Fourth Proportional to 9,833.58, 14,747.18 and 3,258

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Solution

The fourth proportional to 9,833.58, 14,747.18 and 3,258 is: 4,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.58 : 14,747.18 = 3,258 : x
  2. Step 2: Convert to fraction form
    9,833.58/14,747.18 = 3,258/x
  3. Step 3: Cross multiply
    9,833.58x = 14,747.18 × 3,258
  4. Step 4: Simplify right side
    9,833.58x = 48,046,314.48
  5. Step 5: Solve for x
    x = 48,046,314.48/9,833.58
  6. Step 6: Final answer
    x = 4,885.94

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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.