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Finding the Fourth Proportional to 9,829.25, 13,564.29 and 5,352.99

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Solution

The fourth proportional to 9,829.25, 13,564.29 and 5,352.99 is: 7,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.25 : 13,564.29 = 5,352.99 : x
  2. Step 2: Convert to fraction form
    9,829.25/13,564.29 = 5,352.99/x
  3. Step 3: Cross multiply
    9,829.25x = 13,564.29 × 5,352.99
  4. Step 4: Simplify right side
    9,829.25x = 72,609,477.93
  5. Step 5: Solve for x
    x = 72,609,477.93/9,829.25
  6. Step 6: Final answer
    x = 7,387.08

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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.