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Finding the Fourth Proportional to 9,132.50, 13,698.76 and 2,976.50

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Solution

The fourth proportional to 9,132.50, 13,698.76 and 2,976.50 is: 4,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.50 : 13,698.76 = 2,976.50 : x
  2. Step 2: Convert to fraction form
    9,132.50/13,698.76 = 2,976.50/x
  3. Step 3: Cross multiply
    9,132.50x = 13,698.76 × 2,976.50
  4. Step 4: Simplify right side
    9,132.50x = 40,774,359.14
  5. Step 5: Solve for x
    x = 40,774,359.14/9,132.50
  6. Step 6: Final answer
    x = 4,464.75

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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.