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Finding the Fourth Proportional to 9,471.88, 14,207.85 and 2,898.05

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Solution

The fourth proportional to 9,471.88, 14,207.85 and 2,898.05 is: 4,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.88 : 14,207.85 = 2,898.05 : x
  2. Step 2: Convert to fraction form
    9,471.88/14,207.85 = 2,898.05/x
  3. Step 3: Cross multiply
    9,471.88x = 14,207.85 × 2,898.05
  4. Step 4: Simplify right side
    9,471.88x = 41,175,059.69
  5. Step 5: Solve for x
    x = 41,175,059.69/9,471.88
  6. Step 6: Final answer
    x = 4,347.08

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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.