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Finding the Fourth Proportional to 9,671.67, 13,342.59 and 7,014.33

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Solution

The fourth proportional to 9,671.67, 13,342.59 and 7,014.33 is: 9,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.67 : 13,342.59 = 7,014.33 : x
  2. Step 2: Convert to fraction form
    9,671.67/13,342.59 = 7,014.33/x
  3. Step 3: Cross multiply
    9,671.67x = 13,342.59 × 7,014.33
  4. Step 4: Simplify right side
    9,671.67x = 93,589,329.31
  5. Step 5: Solve for x
    x = 93,589,329.31/9,671.67
  6. Step 6: Final answer
    x = 9,676.65

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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.