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Finding the Fourth Proportional to 9,237.84, 13,856.76 and 7,162.08

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Solution

The fourth proportional to 9,237.84, 13,856.76 and 7,162.08 is: 10,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 13,856.76 = 7,162.08 : x
  2. Step 2: Convert to fraction form
    9,237.84/13,856.76 = 7,162.08/x
  3. Step 3: Cross multiply
    9,237.84x = 13,856.76 × 7,162.08
  4. Step 4: Simplify right side
    9,237.84x = 99,243,223.66
  5. Step 5: Solve for x
    x = 99,243,223.66/9,237.84
  6. Step 6: Final answer
    x = 10,743.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.