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Finding the Fourth Proportional to 6,941, 9,578.64 and 4,461.32

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Solution

The fourth proportional to 6,941, 9,578.64 and 4,461.32 is: 6,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 9,578.64 = 4,461.32 : x
  2. Step 2: Convert to fraction form
    6,941/9,578.64 = 4,461.32/x
  3. Step 3: Cross multiply
    6,941x = 9,578.64 × 4,461.32
  4. Step 4: Simplify right side
    6,941x = 42,733,378.20
  5. Step 5: Solve for x
    x = 42,733,378.20/6,941
  6. Step 6: Final answer
    x = 6,156.66

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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.