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Finding the Fourth Proportional to 9,004.86, 13,502.40 and 3,457.02

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Solution

The fourth proportional to 9,004.86, 13,502.40 and 3,457.02 is: 5,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.86 : 13,502.40 = 3,457.02 : x
  2. Step 2: Convert to fraction form
    9,004.86/13,502.40 = 3,457.02/x
  3. Step 3: Cross multiply
    9,004.86x = 13,502.40 × 3,457.02
  4. Step 4: Simplify right side
    9,004.86x = 46,678,066.85
  5. Step 5: Solve for x
    x = 46,678,066.85/9,004.86
  6. Step 6: Final answer
    x = 5,183.65

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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.