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Finding the Fourth Proportional to 9,564.36, 13,197.06 and 6,032.04

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Solution

The fourth proportional to 9,564.36, 13,197.06 and 6,032.04 is: 8,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.36 : 13,197.06 = 6,032.04 : x
  2. Step 2: Convert to fraction form
    9,564.36/13,197.06 = 6,032.04/x
  3. Step 3: Cross multiply
    9,564.36x = 13,197.06 × 6,032.04
  4. Step 4: Simplify right side
    9,564.36x = 79,605,193.80
  5. Step 5: Solve for x
    x = 79,605,193.80/9,564.36
  6. Step 6: Final answer
    x = 8,323.11

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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.