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Finding the Fourth Proportional to 9,873.68, 13,625.65 and 5,397.43

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Solution

The fourth proportional to 9,873.68, 13,625.65 and 5,397.43 is: 7,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.68 : 13,625.65 = 5,397.43 : x
  2. Step 2: Convert to fraction form
    9,873.68/13,625.65 = 5,397.43/x
  3. Step 3: Cross multiply
    9,873.68x = 13,625.65 × 5,397.43
  4. Step 4: Simplify right side
    9,873.68x = 73,543,492.08
  5. Step 5: Solve for x
    x = 73,543,492.08/9,873.68
  6. Step 6: Final answer
    x = 7,448.44

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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.