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Finding the Fourth Proportional to 9,343.86, 12,895.32 and 5,152.92

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Solution

The fourth proportional to 9,343.86, 12,895.32 and 5,152.92 is: 7,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.86 : 12,895.32 = 5,152.92 : x
  2. Step 2: Convert to fraction form
    9,343.86/12,895.32 = 5,152.92/x
  3. Step 3: Cross multiply
    9,343.86x = 12,895.32 × 5,152.92
  4. Step 4: Simplify right side
    9,343.86x = 66,448,552.33
  5. Step 5: Solve for x
    x = 66,448,552.33/9,343.86
  6. Step 6: Final answer
    x = 7,111.47

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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.