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Finding the Fourth Proportional to 9,356.86, 14,032.37 and 3,115.41

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Solution

The fourth proportional to 9,356.86, 14,032.37 and 3,115.41 is: 4,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.86 : 14,032.37 = 3,115.41 : x
  2. Step 2: Convert to fraction form
    9,356.86/14,032.37 = 3,115.41/x
  3. Step 3: Cross multiply
    9,356.86x = 14,032.37 × 3,115.41
  4. Step 4: Simplify right side
    9,356.86x = 43,716,585.82
  5. Step 5: Solve for x
    x = 43,716,585.82/9,356.86
  6. Step 6: Final answer
    x = 4,672.14

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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.