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Finding the Fourth Proportional to 7,021.80, 9,689.76 and 4,037.40

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Solution

The fourth proportional to 7,021.80, 9,689.76 and 4,037.40 is: 5,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.80 : 9,689.76 = 4,037.40 : x
  2. Step 2: Convert to fraction form
    7,021.80/9,689.76 = 4,037.40/x
  3. Step 3: Cross multiply
    7,021.80x = 9,689.76 × 4,037.40
  4. Step 4: Simplify right side
    7,021.80x = 39,121,437.02
  5. Step 5: Solve for x
    x = 39,121,437.02/7,021.80
  6. Step 6: Final answer
    x = 5,571.43

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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.