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Finding the Fourth Proportional to 9,828.82, 13,564.07 and 5,637.07

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Solution

The fourth proportional to 9,828.82, 13,564.07 and 5,637.07 is: 7,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.82 : 13,564.07 = 5,637.07 : x
  2. Step 2: Convert to fraction form
    9,828.82/13,564.07 = 5,637.07/x
  3. Step 3: Cross multiply
    9,828.82x = 13,564.07 × 5,637.07
  4. Step 4: Simplify right side
    9,828.82x = 76,461,612.07
  5. Step 5: Solve for x
    x = 76,461,612.07/9,828.82
  6. Step 6: Final answer
    x = 7,779.33

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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.