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Finding the Fourth Proportional to 9,411.86, 14,116.08 and 3,566.54

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Solution

The fourth proportional to 9,411.86, 14,116.08 and 3,566.54 is: 5,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.86 : 14,116.08 = 3,566.54 : x
  2. Step 2: Convert to fraction form
    9,411.86/14,116.08 = 3,566.54/x
  3. Step 3: Cross multiply
    9,411.86x = 14,116.08 × 3,566.54
  4. Step 4: Simplify right side
    9,411.86x = 50,345,563.96
  5. Step 5: Solve for x
    x = 50,345,563.96/9,411.86
  6. Step 6: Final answer
    x = 5,349.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.