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Finding the Fourth Proportional to 9,922.01, 14,871.65 and 4,071.38

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Solution

The fourth proportional to 9,922.01, 14,871.65 and 4,071.38 is: 6,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.01 : 14,871.65 = 4,071.38 : x
  2. Step 2: Convert to fraction form
    9,922.01/14,871.65 = 4,071.38/x
  3. Step 3: Cross multiply
    9,922.01x = 14,871.65 × 4,071.38
  4. Step 4: Simplify right side
    9,922.01x = 60,548,043.66
  5. Step 5: Solve for x
    x = 60,548,043.66/9,922.01
  6. Step 6: Final answer
    x = 6,102.40

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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.