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Finding the Fourth Proportional to 8,917.40, 13,384.32 and 4,538

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Solution

The fourth proportional to 8,917.40, 13,384.32 and 4,538 is: 6,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.40 : 13,384.32 = 4,538 : x
  2. Step 2: Convert to fraction form
    8,917.40/13,384.32 = 4,538/x
  3. Step 3: Cross multiply
    8,917.40x = 13,384.32 × 4,538
  4. Step 4: Simplify right side
    8,917.40x = 60,738,044.16
  5. Step 5: Solve for x
    x = 60,738,044.16/8,917.40
  6. Step 6: Final answer
    x = 6,811.18

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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.