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Finding the Fourth Proportional to 8,969.09, 13,453.65 and 4,288

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Solution

The fourth proportional to 8,969.09, 13,453.65 and 4,288 is: 6,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.09 : 13,453.65 = 4,288 : x
  2. Step 2: Convert to fraction form
    8,969.09/13,453.65 = 4,288/x
  3. Step 3: Cross multiply
    8,969.09x = 13,453.65 × 4,288
  4. Step 4: Simplify right side
    8,969.09x = 57,689,251.20
  5. Step 5: Solve for x
    x = 57,689,251.20/8,969.09
  6. Step 6: Final answer
    x = 6,432.01

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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.