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Finding the Fourth Proportional to 6,448.32, 9,671.85 and 2,064.60

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Solution

The fourth proportional to 6,448.32, 9,671.85 and 2,064.60 is: 3,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.32 : 9,671.85 = 2,064.60 : x
  2. Step 2: Convert to fraction form
    6,448.32/9,671.85 = 2,064.60/x
  3. Step 3: Cross multiply
    6,448.32x = 9,671.85 × 2,064.60
  4. Step 4: Simplify right side
    6,448.32x = 19,968,501.51
  5. Step 5: Solve for x
    x = 19,968,501.51/6,448.32
  6. Step 6: Final answer
    x = 3,096.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.