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Finding the Fourth Proportional to 9,237.84, 12,747.70 and 5,461.36

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Solution

The fourth proportional to 9,237.84, 12,747.70 and 5,461.36 is: 7,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 12,747.70 = 5,461.36 : x
  2. Step 2: Convert to fraction form
    9,237.84/12,747.70 = 5,461.36/x
  3. Step 3: Cross multiply
    9,237.84x = 12,747.70 × 5,461.36
  4. Step 4: Simplify right side
    9,237.84x = 69,619,778.87
  5. Step 5: Solve for x
    x = 69,619,778.87/9,237.84
  6. Step 6: Final answer
    x = 7,536.37

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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.