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Finding the Fourth Proportional to 9,642.03, 14,462.43 and 3,072.93

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Solution

The fourth proportional to 9,642.03, 14,462.43 and 3,072.93 is: 4,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.03 : 14,462.43 = 3,072.93 : x
  2. Step 2: Convert to fraction form
    9,642.03/14,462.43 = 3,072.93/x
  3. Step 3: Cross multiply
    9,642.03x = 14,462.43 × 3,072.93
  4. Step 4: Simplify right side
    9,642.03x = 44,442,035.02
  5. Step 5: Solve for x
    x = 44,442,035.02/9,642.03
  6. Step 6: Final answer
    x = 4,609.20

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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.