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Finding the Fourth Proportional to 9,391.26, 12,970.59 and 6,401.97

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Solution

The fourth proportional to 9,391.26, 12,970.59 and 6,401.97 is: 8,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.26 : 12,970.59 = 6,401.97 : x
  2. Step 2: Convert to fraction form
    9,391.26/12,970.59 = 6,401.97/x
  3. Step 3: Cross multiply
    9,391.26x = 12,970.59 × 6,401.97
  4. Step 4: Simplify right side
    9,391.26x = 83,037,328.06
  5. Step 5: Solve for x
    x = 83,037,328.06/9,391.26
  6. Step 6: Final answer
    x = 8,841.98

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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.