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Finding the Fourth Proportional to 9,572.27, 14,358.41 and 4,374.50

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Solution

The fourth proportional to 9,572.27, 14,358.41 and 4,374.50 is: 6,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.27 : 14,358.41 = 4,374.50 : x
  2. Step 2: Convert to fraction form
    9,572.27/14,358.41 = 4,374.50/x
  3. Step 3: Cross multiply
    9,572.27x = 14,358.41 × 4,374.50
  4. Step 4: Simplify right side
    9,572.27x = 62,810,842.67
  5. Step 5: Solve for x
    x = 62,810,842.67/9,572.27
  6. Step 6: Final answer
    x = 6,561.75

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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.