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Finding the Fourth Proportional to 9,812.21, 13,537.53 and 5,562.81

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Solution

The fourth proportional to 9,812.21, 13,537.53 and 5,562.81 is: 7,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.21 : 13,537.53 = 5,562.81 : x
  2. Step 2: Convert to fraction form
    9,812.21/13,537.53 = 5,562.81/x
  3. Step 3: Cross multiply
    9,812.21x = 13,537.53 × 5,562.81
  4. Step 4: Simplify right side
    9,812.21x = 75,306,707.26
  5. Step 5: Solve for x
    x = 75,306,707.26/9,812.21
  6. Step 6: Final answer
    x = 7,674.80

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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.