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Finding the Fourth Proportional to 9,237.34, 12,747.01 and 5,460.86

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Solution

The fourth proportional to 9,237.34, 12,747.01 and 5,460.86 is: 7,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.34 : 12,747.01 = 5,460.86 : x
  2. Step 2: Convert to fraction form
    9,237.34/12,747.01 = 5,460.86/x
  3. Step 3: Cross multiply
    9,237.34x = 12,747.01 × 5,460.86
  4. Step 4: Simplify right side
    9,237.34x = 69,609,637.03
  5. Step 5: Solve for x
    x = 69,609,637.03/9,237.34
  6. Step 6: Final answer
    x = 7,535.68

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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.