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Finding the Fourth Proportional to 7,238.93, 9,989.12 and 4,254.89

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Solution

The fourth proportional to 7,238.93, 9,989.12 and 4,254.89 is: 5,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.93 : 9,989.12 = 4,254.89 : x
  2. Step 2: Convert to fraction form
    7,238.93/9,989.12 = 4,254.89/x
  3. Step 3: Cross multiply
    7,238.93x = 9,989.12 × 4,254.89
  4. Step 4: Simplify right side
    7,238.93x = 42,502,567.49
  5. Step 5: Solve for x
    x = 42,502,567.49/7,238.93
  6. Step 6: Final answer
    x = 5,871.39

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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.