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Finding the Fourth Proportional to 9,387.86, 12,956.83 and 5,411.28

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Solution

The fourth proportional to 9,387.86, 12,956.83 and 5,411.28 is: 7,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.86 : 12,956.83 = 5,411.28 : x
  2. Step 2: Convert to fraction form
    9,387.86/12,956.83 = 5,411.28/x
  3. Step 3: Cross multiply
    9,387.86x = 12,956.83 × 5,411.28
  4. Step 4: Simplify right side
    9,387.86x = 70,112,997.22
  5. Step 5: Solve for x
    x = 70,112,997.22/9,387.86
  6. Step 6: Final answer
    x = 7,468.48

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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.