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Finding the Fourth Proportional to 9,444.96, 14,166.96 and 2,871

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Solution

The fourth proportional to 9,444.96, 14,166.96 and 2,871 is: 4,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.96 : 14,166.96 = 2,871 : x
  2. Step 2: Convert to fraction form
    9,444.96/14,166.96 = 2,871/x
  3. Step 3: Cross multiply
    9,444.96x = 14,166.96 × 2,871
  4. Step 4: Simplify right side
    9,444.96x = 40,673,342.16
  5. Step 5: Solve for x
    x = 40,673,342.16/9,444.96
  6. Step 6: Final answer
    x = 4,306.35

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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.