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Finding the Fourth Proportional to 9,867.32, 14,803.23 and 2,847.40

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Solution

The fourth proportional to 9,867.32, 14,803.23 and 2,847.40 is: 4,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.32 : 14,803.23 = 2,847.40 : x
  2. Step 2: Convert to fraction form
    9,867.32/14,803.23 = 2,847.40/x
  3. Step 3: Cross multiply
    9,867.32x = 14,803.23 × 2,847.40
  4. Step 4: Simplify right side
    9,867.32x = 42,150,643.09
  5. Step 5: Solve for x
    x = 42,150,643.09/9,867.32
  6. Step 6: Final answer
    x = 4,271.74

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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.