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Finding the Fourth Proportional to 9,892.32, 14,849.40 and 4,053

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Solution

The fourth proportional to 9,892.32, 14,849.40 and 4,053 is: 6,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.32 : 14,849.40 = 4,053 : x
  2. Step 2: Convert to fraction form
    9,892.32/14,849.40 = 4,053/x
  3. Step 3: Cross multiply
    9,892.32x = 14,849.40 × 4,053
  4. Step 4: Simplify right side
    9,892.32x = 60,184,618.20
  5. Step 5: Solve for x
    x = 60,184,618.20/9,892.32
  6. Step 6: Final answer
    x = 6,083.97

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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.