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Finding the Fourth Proportional to 9,242.15, 13,854.94 and 3,394.67

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Solution

The fourth proportional to 9,242.15, 13,854.94 and 3,394.67 is: 5,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.15 : 13,854.94 = 3,394.67 : x
  2. Step 2: Convert to fraction form
    9,242.15/13,854.94 = 3,394.67/x
  3. Step 3: Cross multiply
    9,242.15x = 13,854.94 × 3,394.67
  4. Step 4: Simplify right side
    9,242.15x = 47,032,871.41
  5. Step 5: Solve for x
    x = 47,032,871.41/9,242.15
  6. Step 6: Final answer
    x = 5,088.96

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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.