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Finding the Fourth Proportional to 10,620.24, 14,617.44 and 9,760.02

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Solution

The fourth proportional to 10,620.24, 14,617.44 and 9,760.02 is: 13,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.24 : 14,617.44 = 9,760.02 : x
  2. Step 2: Convert to fraction form
    10,620.24/14,617.44 = 9,760.02/x
  3. Step 3: Cross multiply
    10,620.24x = 14,617.44 × 9,760.02
  4. Step 4: Simplify right side
    10,620.24x = 142,666,506.75
  5. Step 5: Solve for x
    x = 142,666,506.75/10,620.24
  6. Step 6: Final answer
    x = 13,433.45

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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.