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Finding the Fourth Proportional to 9,091.05, 13,643.86 and 4,709.76

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Solution

The fourth proportional to 9,091.05, 13,643.86 and 4,709.76 is: 7,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.05 : 13,643.86 = 4,709.76 : x
  2. Step 2: Convert to fraction form
    9,091.05/13,643.86 = 4,709.76/x
  3. Step 3: Cross multiply
    9,091.05x = 13,643.86 × 4,709.76
  4. Step 4: Simplify right side
    9,091.05x = 64,259,294.30
  5. Step 5: Solve for x
    x = 64,259,294.30/9,091.05
  6. Step 6: Final answer
    x = 7,068.41

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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.