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Finding the Fourth Proportional to 7,037.25, 9,707.43 and 4,644.78

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Solution

The fourth proportional to 7,037.25, 9,707.43 and 4,644.78 is: 6,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.25 : 9,707.43 = 4,644.78 : x
  2. Step 2: Convert to fraction form
    7,037.25/9,707.43 = 4,644.78/x
  3. Step 3: Cross multiply
    7,037.25x = 9,707.43 × 4,644.78
  4. Step 4: Simplify right side
    7,037.25x = 45,088,876.72
  5. Step 5: Solve for x
    x = 45,088,876.72/7,037.25
  6. Step 6: Final answer
    x = 6,407.17

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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.