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Finding the Fourth Proportional to 9,829.67, 13,564.48 and 5,353.40

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Solution

The fourth proportional to 9,829.67, 13,564.48 and 5,353.40 is: 7,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.67 : 13,564.48 = 5,353.40 : x
  2. Step 2: Convert to fraction form
    9,829.67/13,564.48 = 5,353.40/x
  3. Step 3: Cross multiply
    9,829.67x = 13,564.48 × 5,353.40
  4. Step 4: Simplify right side
    9,829.67x = 72,616,087.23
  5. Step 5: Solve for x
    x = 72,616,087.23/9,829.67
  6. Step 6: Final answer
    x = 7,387.44

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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.