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Finding the Fourth Proportional to 9,893.19, 13,650.87 and 5,700.63

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Solution

The fourth proportional to 9,893.19, 13,650.87 and 5,700.63 is: 7,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.19 : 13,650.87 = 5,700.63 : x
  2. Step 2: Convert to fraction form
    9,893.19/13,650.87 = 5,700.63/x
  3. Step 3: Cross multiply
    9,893.19x = 13,650.87 × 5,700.63
  4. Step 4: Simplify right side
    9,893.19x = 77,818,559.05
  5. Step 5: Solve for x
    x = 77,818,559.05/9,893.19
  6. Step 6: Final answer
    x = 7,865.87

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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.