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Finding the Fourth Proportional to 9,137.67, 13,709.31 and 4,457.02

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Solution

The fourth proportional to 9,137.67, 13,709.31 and 4,457.02 is: 6,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.67 : 13,709.31 = 4,457.02 : x
  2. Step 2: Convert to fraction form
    9,137.67/13,709.31 = 4,457.02/x
  3. Step 3: Cross multiply
    9,137.67x = 13,709.31 × 4,457.02
  4. Step 4: Simplify right side
    9,137.67x = 61,102,668.86
  5. Step 5: Solve for x
    x = 61,102,668.86/9,137.67
  6. Step 6: Final answer
    x = 6,686.90

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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.