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Finding the Fourth Proportional to 9,893.25, 13,652.69 and 5,701.50

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Solution

The fourth proportional to 9,893.25, 13,652.69 and 5,701.50 is: 7,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.25 : 13,652.69 = 5,701.50 : x
  2. Step 2: Convert to fraction form
    9,893.25/13,652.69 = 5,701.50/x
  3. Step 3: Cross multiply
    9,893.25x = 13,652.69 × 5,701.50
  4. Step 4: Simplify right side
    9,893.25x = 77,840,783.53
  5. Step 5: Solve for x
    x = 77,840,783.53/9,893.25
  6. Step 6: Final answer
    x = 7,868.07

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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.