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Finding the Fourth Proportional to 9,529.97, 13,139.16 and 7,401.90

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Solution

The fourth proportional to 9,529.97, 13,139.16 and 7,401.90 is: 10,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.97 : 13,139.16 = 7,401.90 : x
  2. Step 2: Convert to fraction form
    9,529.97/13,139.16 = 7,401.90/x
  3. Step 3: Cross multiply
    9,529.97x = 13,139.16 × 7,401.90
  4. Step 4: Simplify right side
    9,529.97x = 97,254,748.40
  5. Step 5: Solve for x
    x = 97,254,748.40/9,529.97
  6. Step 6: Final answer
    x = 10,205.15

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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.