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Finding the Fourth Proportional to 6,411.47, 9,617.55 and 2,028.59

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Solution

The fourth proportional to 6,411.47, 9,617.55 and 2,028.59 is: 3,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.47 : 9,617.55 = 2,028.59 : x
  2. Step 2: Convert to fraction form
    6,411.47/9,617.55 = 2,028.59/x
  3. Step 3: Cross multiply
    6,411.47x = 9,617.55 × 2,028.59
  4. Step 4: Simplify right side
    6,411.47x = 19,510,111.63
  5. Step 5: Solve for x
    x = 19,510,111.63/6,411.47
  6. Step 6: Final answer
    x = 3,043.00

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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.