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Finding the Fourth Proportional to 9,965.34, 13,752.36 and 6,429.78

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Solution

The fourth proportional to 9,965.34, 13,752.36 and 6,429.78 is: 8,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.34 : 13,752.36 = 6,429.78 : x
  2. Step 2: Convert to fraction form
    9,965.34/13,752.36 = 6,429.78/x
  3. Step 3: Cross multiply
    9,965.34x = 13,752.36 × 6,429.78
  4. Step 4: Simplify right side
    9,965.34x = 88,424,649.28
  5. Step 5: Solve for x
    x = 88,424,649.28/9,965.34
  6. Step 6: Final answer
    x = 8,873.22

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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.