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Finding the Fourth Proportional to 9,400.86, 12,943.65 and 7,981.74

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Solution

The fourth proportional to 9,400.86, 12,943.65 and 7,981.74 is: 10,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.86 : 12,943.65 = 7,981.74 : x
  2. Step 2: Convert to fraction form
    9,400.86/12,943.65 = 7,981.74/x
  3. Step 3: Cross multiply
    9,400.86x = 12,943.65 × 7,981.74
  4. Step 4: Simplify right side
    9,400.86x = 103,312,848.95
  5. Step 5: Solve for x
    x = 103,312,848.95/9,400.86
  6. Step 6: Final answer
    x = 10,989.72

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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.