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Finding the Fourth Proportional to 6,503.79, 9,740.02 and 3,722.01

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Solution

The fourth proportional to 6,503.79, 9,740.02 and 3,722.01 is: 5,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.79 : 9,740.02 = 3,722.01 : x
  2. Step 2: Convert to fraction form
    6,503.79/9,740.02 = 3,722.01/x
  3. Step 3: Cross multiply
    6,503.79x = 9,740.02 × 3,722.01
  4. Step 4: Simplify right side
    6,503.79x = 36,252,451.84
  5. Step 5: Solve for x
    x = 36,252,451.84/6,503.79
  6. Step 6: Final answer
    x = 5,574.05

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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.