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Finding the Fourth Proportional to 9,987.57, 14,976.72 and 5,828.78

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Solution

The fourth proportional to 9,987.57, 14,976.72 and 5,828.78 is: 8,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.57 : 14,976.72 = 5,828.78 : x
  2. Step 2: Convert to fraction form
    9,987.57/14,976.72 = 5,828.78/x
  3. Step 3: Cross multiply
    9,987.57x = 14,976.72 × 5,828.78
  4. Step 4: Simplify right side
    9,987.57x = 87,295,931.12
  5. Step 5: Solve for x
    x = 87,295,931.12/9,987.57
  6. Step 6: Final answer
    x = 8,740.46

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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.