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Finding the Fourth Proportional to 9,641.09, 13,302 and 6,056.43

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Solution

The fourth proportional to 9,641.09, 13,302 and 6,056.43 is: 8,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.09 : 13,302 = 6,056.43 : x
  2. Step 2: Convert to fraction form
    9,641.09/13,302 = 6,056.43/x
  3. Step 3: Cross multiply
    9,641.09x = 13,302 × 6,056.43
  4. Step 4: Simplify right side
    9,641.09x = 80,562,631.86
  5. Step 5: Solve for x
    x = 80,562,631.86/9,641.09
  6. Step 6: Final answer
    x = 8,356.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.