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Finding the Fourth Proportional to 9,919.98, 13,683.87 and 6,187.50

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Solution

The fourth proportional to 9,919.98, 13,683.87 and 6,187.50 is: 8,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.98 : 13,683.87 = 6,187.50 : x
  2. Step 2: Convert to fraction form
    9,919.98/13,683.87 = 6,187.50/x
  3. Step 3: Cross multiply
    9,919.98x = 13,683.87 × 6,187.50
  4. Step 4: Simplify right side
    9,919.98x = 84,668,945.63
  5. Step 5: Solve for x
    x = 84,668,945.63/9,919.98
  6. Step 6: Final answer
    x = 8,535.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.