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Finding the Fourth Proportional to 9,902.30, 13,653.87 and 7,911.50

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Solution

The fourth proportional to 9,902.30, 13,653.87 and 7,911.50 is: 10,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.30 : 13,653.87 = 7,911.50 : x
  2. Step 2: Convert to fraction form
    9,902.30/13,653.87 = 7,911.50/x
  3. Step 3: Cross multiply
    9,902.30x = 13,653.87 × 7,911.50
  4. Step 4: Simplify right side
    9,902.30x = 108,022,592.51
  5. Step 5: Solve for x
    x = 108,022,592.51/9,902.30
  6. Step 6: Final answer
    x = 10,908.84

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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.