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Finding the Fourth Proportional to 9,409.68, 12,985.44 and 5,872.68

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Solution

The fourth proportional to 9,409.68, 12,985.44 and 5,872.68 is: 8,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.68 : 12,985.44 = 5,872.68 : x
  2. Step 2: Convert to fraction form
    9,409.68/12,985.44 = 5,872.68/x
  3. Step 3: Cross multiply
    9,409.68x = 12,985.44 × 5,872.68
  4. Step 4: Simplify right side
    9,409.68x = 76,259,333.78
  5. Step 5: Solve for x
    x = 76,259,333.78/9,409.68
  6. Step 6: Final answer
    x = 8,104.35

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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.