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Finding the Fourth Proportional to 9,572.39, 14,361.51 and 4,895.68

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Solution

The fourth proportional to 9,572.39, 14,361.51 and 4,895.68 is: 7,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.39 : 14,361.51 = 4,895.68 : x
  2. Step 2: Convert to fraction form
    9,572.39/14,361.51 = 4,895.68/x
  3. Step 3: Cross multiply
    9,572.39x = 14,361.51 × 4,895.68
  4. Step 4: Simplify right side
    9,572.39x = 70,309,357.28
  5. Step 5: Solve for x
    x = 70,309,357.28/9,572.39
  6. Step 6: Final answer
    x = 7,345.02

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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.