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Finding the Fourth Proportional to 9,811.20, 14,712.24 and 2,884.32

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Solution

The fourth proportional to 9,811.20, 14,712.24 and 2,884.32 is: 4,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.20 : 14,712.24 = 2,884.32 : x
  2. Step 2: Convert to fraction form
    9,811.20/14,712.24 = 2,884.32/x
  3. Step 3: Cross multiply
    9,811.20x = 14,712.24 × 2,884.32
  4. Step 4: Simplify right side
    9,811.20x = 42,434,808.08
  5. Step 5: Solve for x
    x = 42,434,808.08/9,811.20
  6. Step 6: Final answer
    x = 4,325.14

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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.