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Finding the Fourth Proportional to 9,671.42, 13,346.33 and 5,422.69

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Solution

The fourth proportional to 9,671.42, 13,346.33 and 5,422.69 is: 7,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.42 : 13,346.33 = 5,422.69 : x
  2. Step 2: Convert to fraction form
    9,671.42/13,346.33 = 5,422.69/x
  3. Step 3: Cross multiply
    9,671.42x = 13,346.33 × 5,422.69
  4. Step 4: Simplify right side
    9,671.42x = 72,372,983.11
  5. Step 5: Solve for x
    x = 72,372,983.11/9,671.42
  6. Step 6: Final answer
    x = 7,483.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.