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Finding the Fourth Proportional to 9,983.40, 13,778.06 and 7,461.13

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Solution

The fourth proportional to 9,983.40, 13,778.06 and 7,461.13 is: 10,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.40 : 13,778.06 = 7,461.13 : x
  2. Step 2: Convert to fraction form
    9,983.40/13,778.06 = 7,461.13/x
  3. Step 3: Cross multiply
    9,983.40x = 13,778.06 × 7,461.13
  4. Step 4: Simplify right side
    9,983.40x = 102,799,859.50
  5. Step 5: Solve for x
    x = 102,799,859.50/9,983.40
  6. Step 6: Final answer
    x = 10,297.08

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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.