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Finding the Fourth Proportional to 7,005.15, 9,666.23 and 4,741.44

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Solution

The fourth proportional to 7,005.15, 9,666.23 and 4,741.44 is: 6,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.15 : 9,666.23 = 4,741.44 : x
  2. Step 2: Convert to fraction form
    7,005.15/9,666.23 = 4,741.44/x
  3. Step 3: Cross multiply
    7,005.15x = 9,666.23 × 4,741.44
  4. Step 4: Simplify right side
    7,005.15x = 45,831,849.57
  5. Step 5: Solve for x
    x = 45,831,849.57/7,005.15
  6. Step 6: Final answer
    x = 6,542.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.