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Finding the Fourth Proportional to 9,820.81, 13,553.01 and 5,344.86

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Solution

The fourth proportional to 9,820.81, 13,553.01 and 5,344.86 is: 7,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.81 : 13,553.01 = 5,344.86 : x
  2. Step 2: Convert to fraction form
    9,820.81/13,553.01 = 5,344.86/x
  3. Step 3: Cross multiply
    9,820.81x = 13,553.01 × 5,344.86
  4. Step 4: Simplify right side
    9,820.81x = 72,438,941.03
  5. Step 5: Solve for x
    x = 72,438,941.03/9,820.81
  6. Step 6: Final answer
    x = 7,376.07

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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.