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Finding the Fourth Proportional to 6,557.54, 9,785.59 and 5,856.67

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Solution

The fourth proportional to 6,557.54, 9,785.59 and 5,856.67 is: 8,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.54 : 9,785.59 = 5,856.67 : x
  2. Step 2: Convert to fraction form
    6,557.54/9,785.59 = 5,856.67/x
  3. Step 3: Cross multiply
    6,557.54x = 9,785.59 × 5,856.67
  4. Step 4: Simplify right side
    6,557.54x = 57,310,922.46
  5. Step 5: Solve for x
    x = 57,310,922.46/6,557.54
  6. Step 6: Final answer
    x = 8,739.70

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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.