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Finding the Fourth Proportional to 9,414.70, 12,987.75 and 5,636.86

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Solution

The fourth proportional to 9,414.70, 12,987.75 and 5,636.86 is: 7,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.70 : 12,987.75 = 5,636.86 : x
  2. Step 2: Convert to fraction form
    9,414.70/12,987.75 = 5,636.86/x
  3. Step 3: Cross multiply
    9,414.70x = 12,987.75 × 5,636.86
  4. Step 4: Simplify right side
    9,414.70x = 73,210,128.47
  5. Step 5: Solve for x
    x = 73,210,128.47/9,414.70
  6. Step 6: Final answer
    x = 7,776.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.