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Finding the Fourth Proportional to 6,395.56, 9,570.11 and 4,661.08

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Solution

The fourth proportional to 6,395.56, 9,570.11 and 4,661.08 is: 6,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.56 : 9,570.11 = 4,661.08 : x
  2. Step 2: Convert to fraction form
    6,395.56/9,570.11 = 4,661.08/x
  3. Step 3: Cross multiply
    6,395.56x = 9,570.11 × 4,661.08
  4. Step 4: Simplify right side
    6,395.56x = 44,607,048.32
  5. Step 5: Solve for x
    x = 44,607,048.32/6,395.56
  6. Step 6: Final answer
    x = 6,974.69

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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.