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Finding the Fourth Proportional to 8,924.25, 13,386.47 and 3,657.91

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Solution

The fourth proportional to 8,924.25, 13,386.47 and 3,657.91 is: 5,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.25 : 13,386.47 = 3,657.91 : x
  2. Step 2: Convert to fraction form
    8,924.25/13,386.47 = 3,657.91/x
  3. Step 3: Cross multiply
    8,924.25x = 13,386.47 × 3,657.91
  4. Step 4: Simplify right side
    8,924.25x = 48,966,450.72
  5. Step 5: Solve for x
    x = 48,966,450.72/8,924.25
  6. Step 6: Final answer
    x = 5,486.90

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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.