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Finding the Fourth Proportional to 6,534.07, 9,797.76 and 2,373.10

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Solution

The fourth proportional to 6,534.07, 9,797.76 and 2,373.10 is: 3,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.07 : 9,797.76 = 2,373.10 : x
  2. Step 2: Convert to fraction form
    6,534.07/9,797.76 = 2,373.10/x
  3. Step 3: Cross multiply
    6,534.07x = 9,797.76 × 2,373.10
  4. Step 4: Simplify right side
    6,534.07x = 23,251,039.76
  5. Step 5: Solve for x
    x = 23,251,039.76/6,534.07
  6. Step 6: Final answer
    x = 3,558.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.