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Finding the Fourth Proportional to 9,006.10, 13,505.10 and 3,457.60

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Solution

The fourth proportional to 9,006.10, 13,505.10 and 3,457.60 is: 5,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.10 : 13,505.10 = 3,457.60 : x
  2. Step 2: Convert to fraction form
    9,006.10/13,505.10 = 3,457.60/x
  3. Step 3: Cross multiply
    9,006.10x = 13,505.10 × 3,457.60
  4. Step 4: Simplify right side
    9,006.10x = 46,695,233.76
  5. Step 5: Solve for x
    x = 46,695,233.76/9,006.10
  6. Step 6: Final answer
    x = 5,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.