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Finding the Fourth Proportional to 6,484.47, 9,728.75 and 2,321.64

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Solution

The fourth proportional to 6,484.47, 9,728.75 and 2,321.64 is: 3,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.47 : 9,728.75 = 2,321.64 : x
  2. Step 2: Convert to fraction form
    6,484.47/9,728.75 = 2,321.64/x
  3. Step 3: Cross multiply
    6,484.47x = 9,728.75 × 2,321.64
  4. Step 4: Simplify right side
    6,484.47x = 22,586,643.54
  5. Step 5: Solve for x
    x = 22,586,643.54/6,484.47
  6. Step 6: Final answer
    x = 3,483.19

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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.