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Finding the Fourth Proportional to 8,897.65, 13,346.47 and 2,324.40

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Solution

The fourth proportional to 8,897.65, 13,346.47 and 2,324.40 is: 3,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.65 : 13,346.47 = 2,324.40 : x
  2. Step 2: Convert to fraction form
    8,897.65/13,346.47 = 2,324.40/x
  3. Step 3: Cross multiply
    8,897.65x = 13,346.47 × 2,324.40
  4. Step 4: Simplify right side
    8,897.65x = 31,022,487.72
  5. Step 5: Solve for x
    x = 31,022,487.72/8,897.65
  6. Step 6: Final answer
    x = 3,486.59

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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.