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Finding the Fourth Proportional to 6,941.16, 9,579.87 and 5,460.30

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Solution

The fourth proportional to 6,941.16, 9,579.87 and 5,460.30 is: 7,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.16 : 9,579.87 = 5,460.30 : x
  2. Step 2: Convert to fraction form
    6,941.16/9,579.87 = 5,460.30/x
  3. Step 3: Cross multiply
    6,941.16x = 9,579.87 × 5,460.30
  4. Step 4: Simplify right side
    6,941.16x = 52,308,964.16
  5. Step 5: Solve for x
    x = 52,308,964.16/6,941.16
  6. Step 6: Final answer
    x = 7,536.06

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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.