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Finding the Fourth Proportional to 9,787.78, 14,683.66 and 4,165.43

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Solution

The fourth proportional to 9,787.78, 14,683.66 and 4,165.43 is: 6,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.78 : 14,683.66 = 4,165.43 : x
  2. Step 2: Convert to fraction form
    9,787.78/14,683.66 = 4,165.43/x
  3. Step 3: Cross multiply
    9,787.78x = 14,683.66 × 4,165.43
  4. Step 4: Simplify right side
    9,787.78x = 61,163,784.17
  5. Step 5: Solve for x
    x = 61,163,784.17/9,787.78
  6. Step 6: Final answer
    x = 6,249.00

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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.