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Finding the Fourth Proportional to 9,567.90, 13,200.96 and 6,032.28

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Solution

The fourth proportional to 9,567.90, 13,200.96 and 6,032.28 is: 8,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.90 : 13,200.96 = 6,032.28 : x
  2. Step 2: Convert to fraction form
    9,567.90/13,200.96 = 6,032.28/x
  3. Step 3: Cross multiply
    9,567.90x = 13,200.96 × 6,032.28
  4. Step 4: Simplify right side
    9,567.90x = 79,631,886.99
  5. Step 5: Solve for x
    x = 79,631,886.99/9,567.90
  6. Step 6: Final answer
    x = 8,322.82

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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.