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Finding the Fourth Proportional to 9,578.27, 14,362.83 and 4,030.58

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Solution

The fourth proportional to 9,578.27, 14,362.83 and 4,030.58 is: 6,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.27 : 14,362.83 = 4,030.58 : x
  2. Step 2: Convert to fraction form
    9,578.27/14,362.83 = 4,030.58/x
  3. Step 3: Cross multiply
    9,578.27x = 14,362.83 × 4,030.58
  4. Step 4: Simplify right side
    9,578.27x = 57,890,463.53
  5. Step 5: Solve for x
    x = 57,890,463.53/9,578.27
  6. Step 6: Final answer
    x = 6,043.94

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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.