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Finding the Fourth Proportional to 6,765.66, 9,345.66 and 5,444.40

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Solution

The fourth proportional to 6,765.66, 9,345.66 and 5,444.40 is: 7,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.66 : 9,345.66 = 5,444.40 : x
  2. Step 2: Convert to fraction form
    6,765.66/9,345.66 = 5,444.40/x
  3. Step 3: Cross multiply
    6,765.66x = 9,345.66 × 5,444.40
  4. Step 4: Simplify right side
    6,765.66x = 50,881,511.30
  5. Step 5: Solve for x
    x = 50,881,511.30/6,765.66
  6. Step 6: Final answer
    x = 7,520.55

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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.