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Finding the Fourth Proportional to 10,433.20, 14,401.74 and 6,901.24

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Solution

The fourth proportional to 10,433.20, 14,401.74 and 6,901.24 is: 9,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.20 : 14,401.74 = 6,901.24 : x
  2. Step 2: Convert to fraction form
    10,433.20/14,401.74 = 6,901.24/x
  3. Step 3: Cross multiply
    10,433.20x = 14,401.74 × 6,901.24
  4. Step 4: Simplify right side
    10,433.20x = 99,389,864.16
  5. Step 5: Solve for x
    x = 99,389,864.16/10,433.20
  6. Step 6: Final answer
    x = 9,526.31

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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.