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Finding the Fourth Proportional to 6,466.47, 9,712.00 and 4,018.39

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Solution

The fourth proportional to 6,466.47, 9,712.00 and 4,018.39 is: 6,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.47 : 9,712.00 = 4,018.39 : x
  2. Step 2: Convert to fraction form
    6,466.47/9,712.00 = 4,018.39/x
  3. Step 3: Cross multiply
    6,466.47x = 9,712.00 × 4,018.39
  4. Step 4: Simplify right side
    6,466.47x = 39,026,664.01
  5. Step 5: Solve for x
    x = 39,026,664.01/6,466.47
  6. Step 6: Final answer
    x = 6,035.24

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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.