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Finding the Fourth Proportional to 9,457.53, 14,202.11 and 5,907.91

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Solution

The fourth proportional to 9,457.53, 14,202.11 and 5,907.91 is: 8,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.53 : 14,202.11 = 5,907.91 : x
  2. Step 2: Convert to fraction form
    9,457.53/14,202.11 = 5,907.91/x
  3. Step 3: Cross multiply
    9,457.53x = 14,202.11 × 5,907.91
  4. Step 4: Simplify right side
    9,457.53x = 83,904,753.28
  5. Step 5: Solve for x
    x = 83,904,753.28/9,457.53
  6. Step 6: Final answer
    x = 8,871.74

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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.