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Finding the Fourth Proportional to 9,828.05, 13,567.62 and 7,699.97

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Solution

The fourth proportional to 9,828.05, 13,567.62 and 7,699.97 is: 10,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.05 : 13,567.62 = 7,699.97 : x
  2. Step 2: Convert to fraction form
    9,828.05/13,567.62 = 7,699.97/x
  3. Step 3: Cross multiply
    9,828.05x = 13,567.62 × 7,699.97
  4. Step 4: Simplify right side
    9,828.05x = 104,470,199.13
  5. Step 5: Solve for x
    x = 104,470,199.13/9,828.05
  6. Step 6: Final answer
    x = 10,629.80

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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.