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Finding the Fourth Proportional to 6,634.02, 9,892.50 and 6,574.80

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Solution

The fourth proportional to 6,634.02, 9,892.50 and 6,574.80 is: 9,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.02 : 9,892.50 = 6,574.80 : x
  2. Step 2: Convert to fraction form
    6,634.02/9,892.50 = 6,574.80/x
  3. Step 3: Cross multiply
    6,634.02x = 9,892.50 × 6,574.80
  4. Step 4: Simplify right side
    6,634.02x = 65,041,225.44
  5. Step 5: Solve for x
    x = 65,041,225.44/6,634.02
  6. Step 6: Final answer
    x = 9,804.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.