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Finding the Fourth Proportional to 6,544.04, 9,806.94 and 3,417.84

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Solution

The fourth proportional to 6,544.04, 9,806.94 and 3,417.84 is: 5,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.04 : 9,806.94 = 3,417.84 : x
  2. Step 2: Convert to fraction form
    6,544.04/9,806.94 = 3,417.84/x
  3. Step 3: Cross multiply
    6,544.04x = 9,806.94 × 3,417.84
  4. Step 4: Simplify right side
    6,544.04x = 33,518,551.81
  5. Step 5: Solve for x
    x = 33,518,551.81/6,544.04
  6. Step 6: Final answer
    x = 5,122.00

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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.