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Finding the Fourth Proportional to 6,071.86, 9,109.07 and 1,913.05

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Solution

The fourth proportional to 6,071.86, 9,109.07 and 1,913.05 is: 2,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.86 : 9,109.07 = 1,913.05 : x
  2. Step 2: Convert to fraction form
    6,071.86/9,109.07 = 1,913.05/x
  3. Step 3: Cross multiply
    6,071.86x = 9,109.07 × 1,913.05
  4. Step 4: Simplify right side
    6,071.86x = 17,426,051.25
  5. Step 5: Solve for x
    x = 17,426,051.25/6,071.86
  6. Step 6: Final answer
    x = 2,869.97

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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.