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Finding the Fourth Proportional to 9,602.25, 14,405.16 and 3,362.13

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Solution

The fourth proportional to 9,602.25, 14,405.16 and 3,362.13 is: 5,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.25 : 14,405.16 = 3,362.13 : x
  2. Step 2: Convert to fraction form
    9,602.25/14,405.16 = 3,362.13/x
  3. Step 3: Cross multiply
    9,602.25x = 14,405.16 × 3,362.13
  4. Step 4: Simplify right side
    9,602.25x = 48,432,020.59
  5. Step 5: Solve for x
    x = 48,432,020.59/9,602.25
  6. Step 6: Final answer
    x = 5,043.82

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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.