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Finding the Fourth Proportional to 9,459.50, 13,053.99 and 5,210.78

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Solution

The fourth proportional to 9,459.50, 13,053.99 and 5,210.78 is: 7,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.50 : 13,053.99 = 5,210.78 : x
  2. Step 2: Convert to fraction form
    9,459.50/13,053.99 = 5,210.78/x
  3. Step 3: Cross multiply
    9,459.50x = 13,053.99 × 5,210.78
  4. Step 4: Simplify right side
    9,459.50x = 68,021,470.01
  5. Step 5: Solve for x
    x = 68,021,470.01/9,459.50
  6. Step 6: Final answer
    x = 7,190.81

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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.