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Finding the Fourth Proportional to 7,129.37, 9,838.67 and 4,145.46

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Solution

The fourth proportional to 7,129.37, 9,838.67 and 4,145.46 is: 5,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.37 : 9,838.67 = 4,145.46 : x
  2. Step 2: Convert to fraction form
    7,129.37/9,838.67 = 4,145.46/x
  3. Step 3: Cross multiply
    7,129.37x = 9,838.67 × 4,145.46
  4. Step 4: Simplify right side
    7,129.37x = 40,785,792.21
  5. Step 5: Solve for x
    x = 40,785,792.21/7,129.37
  6. Step 6: Final answer
    x = 5,720.82

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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.