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Finding the Fourth Proportional to 6,577.06, 9,817.61 and 5,746.67

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Solution

The fourth proportional to 6,577.06, 9,817.61 and 5,746.67 is: 8,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.06 : 9,817.61 = 5,746.67 : x
  2. Step 2: Convert to fraction form
    6,577.06/9,817.61 = 5,746.67/x
  3. Step 3: Cross multiply
    6,577.06x = 9,817.61 × 5,746.67
  4. Step 4: Simplify right side
    6,577.06x = 56,418,543.31
  5. Step 5: Solve for x
    x = 56,418,543.31/6,577.06
  6. Step 6: Final answer
    x = 8,578.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.