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Finding the Fourth Proportional to 9,237.68, 13,853.76 and 4,852.76

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Solution

The fourth proportional to 9,237.68, 13,853.76 and 4,852.76 is: 7,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.68 : 13,853.76 = 4,852.76 : x
  2. Step 2: Convert to fraction form
    9,237.68/13,853.76 = 4,852.76/x
  3. Step 3: Cross multiply
    9,237.68x = 13,853.76 × 4,852.76
  4. Step 4: Simplify right side
    9,237.68x = 67,228,972.38
  5. Step 5: Solve for x
    x = 67,228,972.38/9,237.68
  6. Step 6: Final answer
    x = 7,277.69

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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.