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Finding the Fourth Proportional to 9,564.96, 14,352.99 and 4,017.83

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Solution

The fourth proportional to 9,564.96, 14,352.99 and 4,017.83 is: 6,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.96 : 14,352.99 = 4,017.83 : x
  2. Step 2: Convert to fraction form
    9,564.96/14,352.99 = 4,017.83/x
  3. Step 3: Cross multiply
    9,564.96x = 14,352.99 × 4,017.83
  4. Step 4: Simplify right side
    9,564.96x = 57,667,802.05
  5. Step 5: Solve for x
    x = 57,667,802.05/9,564.96
  6. Step 6: Final answer
    x = 6,029.07

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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.