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Finding the Fourth Proportional to 9,772.98, 13,476.20 and 9,567.92

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Solution

The fourth proportional to 9,772.98, 13,476.20 and 9,567.92 is: 13,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.98 : 13,476.20 = 9,567.92 : x
  2. Step 2: Convert to fraction form
    9,772.98/13,476.20 = 9,567.92/x
  3. Step 3: Cross multiply
    9,772.98x = 13,476.20 × 9,567.92
  4. Step 4: Simplify right side
    9,772.98x = 128,939,088.28
  5. Step 5: Solve for x
    x = 128,939,088.28/9,772.98
  6. Step 6: Final answer
    x = 13,193.43

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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.