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Finding the Fourth Proportional to 9,892.08, 14,808.96 and 9,464.40

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Solution

The fourth proportional to 9,892.08, 14,808.96 and 9,464.40 is: 14,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.08 : 14,808.96 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    9,892.08/14,808.96 = 9,464.40/x
  3. Step 3: Cross multiply
    9,892.08x = 14,808.96 × 9,464.40
  4. Step 4: Simplify right side
    9,892.08x = 140,157,921.02
  5. Step 5: Solve for x
    x = 140,157,921.02/9,892.08
  6. Step 6: Final answer
    x = 14,168.70

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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.