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Finding the Fourth Proportional to 8,971.86, 12,382.32 and 5,435.16

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Solution

The fourth proportional to 8,971.86, 12,382.32 and 5,435.16 is: 7,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.86 : 12,382.32 = 5,435.16 : x
  2. Step 2: Convert to fraction form
    8,971.86/12,382.32 = 5,435.16/x
  3. Step 3: Cross multiply
    8,971.86x = 12,382.32 × 5,435.16
  4. Step 4: Simplify right side
    8,971.86x = 67,299,890.37
  5. Step 5: Solve for x
    x = 67,299,890.37/8,971.86
  6. Step 6: Final answer
    x = 7,501.22

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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.