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Finding the Fourth Proportional to 9,985.68, 14,965.92 and 5,056.56

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Solution

The fourth proportional to 9,985.68, 14,965.92 and 5,056.56 is: 7,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.68 : 14,965.92 = 5,056.56 : x
  2. Step 2: Convert to fraction form
    9,985.68/14,965.92 = 5,056.56/x
  3. Step 3: Cross multiply
    9,985.68x = 14,965.92 × 5,056.56
  4. Step 4: Simplify right side
    9,985.68x = 75,676,072.44
  5. Step 5: Solve for x
    x = 75,676,072.44/9,985.68
  6. Step 6: Final answer
    x = 7,578.46

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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.