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Finding the Fourth Proportional to 6,605.02, 9,101.81 and 4,713.30

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Solution

The fourth proportional to 6,605.02, 9,101.81 and 4,713.30 is: 6,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.02 : 9,101.81 = 4,713.30 : x
  2. Step 2: Convert to fraction form
    6,605.02/9,101.81 = 4,713.30/x
  3. Step 3: Cross multiply
    6,605.02x = 9,101.81 × 4,713.30
  4. Step 4: Simplify right side
    6,605.02x = 42,899,561.07
  5. Step 5: Solve for x
    x = 42,899,561.07/6,605.02
  6. Step 6: Final answer
    x = 6,494.99

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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.