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Finding the Fourth Proportional to 9,237.96, 13,860.96 and 4,854.36

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Solution

The fourth proportional to 9,237.96, 13,860.96 and 4,854.36 is: 7,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.96 : 13,860.96 = 4,854.36 : x
  2. Step 2: Convert to fraction form
    9,237.96/13,860.96 = 4,854.36/x
  3. Step 3: Cross multiply
    9,237.96x = 13,860.96 × 4,854.36
  4. Step 4: Simplify right side
    9,237.96x = 67,286,089.79
  5. Step 5: Solve for x
    x = 67,286,089.79/9,237.96
  6. Step 6: Final answer
    x = 7,283.65

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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.