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Finding the Fourth Proportional to 8,943.21, 12,345.62 and 7,825.41

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Solution

The fourth proportional to 8,943.21, 12,345.62 and 7,825.41 is: 10,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.21 : 12,345.62 = 7,825.41 : x
  2. Step 2: Convert to fraction form
    8,943.21/12,345.62 = 7,825.41/x
  3. Step 3: Cross multiply
    8,943.21x = 12,345.62 × 7,825.41
  4. Step 4: Simplify right side
    8,943.21x = 96,609,499.08
  5. Step 5: Solve for x
    x = 96,609,499.08/8,943.21
  6. Step 6: Final answer
    x = 10,802.55

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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.