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Finding the Fourth Proportional to 7,035.37, 9,710.73 and 4,381.21

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Solution

The fourth proportional to 7,035.37, 9,710.73 and 4,381.21 is: 6,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.37 : 9,710.73 = 4,381.21 : x
  2. Step 2: Convert to fraction form
    7,035.37/9,710.73 = 4,381.21/x
  3. Step 3: Cross multiply
    7,035.37x = 9,710.73 × 4,381.21
  4. Step 4: Simplify right side
    7,035.37x = 42,544,747.38
  5. Step 5: Solve for x
    x = 42,544,747.38/7,035.37
  6. Step 6: Final answer
    x = 6,047.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.