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Finding the Fourth Proportional to 9,803.68, 14,704.80 and 2,878.72

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Solution

The fourth proportional to 9,803.68, 14,704.80 and 2,878.72 is: 4,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.68 : 14,704.80 = 2,878.72 : x
  2. Step 2: Convert to fraction form
    9,803.68/14,704.80 = 2,878.72/x
  3. Step 3: Cross multiply
    9,803.68x = 14,704.80 × 2,878.72
  4. Step 4: Simplify right side
    9,803.68x = 42,331,001.86
  5. Step 5: Solve for x
    x = 42,331,001.86/9,803.68
  6. Step 6: Final answer
    x = 4,317.87

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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.