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Finding the Fourth Proportional to 9,731.86, 13,428.21 and 5,482.26

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Solution

The fourth proportional to 9,731.86, 13,428.21 and 5,482.26 is: 7,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.86 : 13,428.21 = 5,482.26 : x
  2. Step 2: Convert to fraction form
    9,731.86/13,428.21 = 5,482.26/x
  3. Step 3: Cross multiply
    9,731.86x = 13,428.21 × 5,482.26
  4. Step 4: Simplify right side
    9,731.86x = 73,616,938.55
  5. Step 5: Solve for x
    x = 73,616,938.55/9,731.86
  6. Step 6: Final answer
    x = 7,564.53

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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.