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Finding the Fourth Proportional to 9,929.88, 13,688.75 and 7,092.25

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Solution

The fourth proportional to 9,929.88, 13,688.75 and 7,092.25 is: 9,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.88 : 13,688.75 = 7,092.25 : x
  2. Step 2: Convert to fraction form
    9,929.88/13,688.75 = 7,092.25/x
  3. Step 3: Cross multiply
    9,929.88x = 13,688.75 × 7,092.25
  4. Step 4: Simplify right side
    9,929.88x = 97,084,020.70
  5. Step 5: Solve for x
    x = 97,084,020.70/9,929.88
  6. Step 6: Final answer
    x = 9,776.96

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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.