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Finding the Fourth Proportional to 9,690.10, 14,526.50 and 3,842.72

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Solution

The fourth proportional to 9,690.10, 14,526.50 and 3,842.72 is: 5,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.10 : 14,526.50 = 3,842.72 : x
  2. Step 2: Convert to fraction form
    9,690.10/14,526.50 = 3,842.72/x
  3. Step 3: Cross multiply
    9,690.10x = 14,526.50 × 3,842.72
  4. Step 4: Simplify right side
    9,690.10x = 55,821,272.08
  5. Step 5: Solve for x
    x = 55,821,272.08/9,690.10
  6. Step 6: Final answer
    x = 5,760.65

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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.