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Finding the Fourth Proportional to 6,937.76, 9,577.68 and 4,844

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Solution

The fourth proportional to 6,937.76, 9,577.68 and 4,844 is: 6,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.76 : 9,577.68 = 4,844 : x
  2. Step 2: Convert to fraction form
    6,937.76/9,577.68 = 4,844/x
  3. Step 3: Cross multiply
    6,937.76x = 9,577.68 × 4,844
  4. Step 4: Simplify right side
    6,937.76x = 46,394,281.92
  5. Step 5: Solve for x
    x = 46,394,281.92/6,937.76
  6. Step 6: Final answer
    x = 6,687.21

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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.