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Finding the Fourth Proportional to 6,557.51, 9,785.91 and 5,856.86

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Solution

The fourth proportional to 6,557.51, 9,785.91 and 5,856.86 is: 8,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.51 : 9,785.91 = 5,856.86 : x
  2. Step 2: Convert to fraction form
    6,557.51/9,785.91 = 5,856.86/x
  3. Step 3: Cross multiply
    6,557.51x = 9,785.91 × 5,856.86
  4. Step 4: Simplify right side
    6,557.51x = 57,314,704.84
  5. Step 5: Solve for x
    x = 57,314,704.84/6,557.51
  6. Step 6: Final answer
    x = 8,740.32

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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.