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Finding the Fourth Proportional to 9,720.29, 14,581.29 and 2,700.74

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Solution

The fourth proportional to 9,720.29, 14,581.29 and 2,700.74 is: 4,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.29 : 14,581.29 = 2,700.74 : x
  2. Step 2: Convert to fraction form
    9,720.29/14,581.29 = 2,700.74/x
  3. Step 3: Cross multiply
    9,720.29x = 14,581.29 × 2,700.74
  4. Step 4: Simplify right side
    9,720.29x = 39,380,273.15
  5. Step 5: Solve for x
    x = 39,380,273.15/9,720.29
  6. Step 6: Final answer
    x = 4,051.35

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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.