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Finding the Fourth Proportional to 9,902.54, 14,851.38 and 4,357.28

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Solution

The fourth proportional to 9,902.54, 14,851.38 and 4,357.28 is: 6,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.54 : 14,851.38 = 4,357.28 : x
  2. Step 2: Convert to fraction form
    9,902.54/14,851.38 = 4,357.28/x
  3. Step 3: Cross multiply
    9,902.54x = 14,851.38 × 4,357.28
  4. Step 4: Simplify right side
    9,902.54x = 64,711,621.05
  5. Step 5: Solve for x
    x = 64,711,621.05/9,902.54
  6. Step 6: Final answer
    x = 6,534.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.