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Finding the Fourth Proportional to 9,602.38, 14,409.24 and 4,055.36

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Solution

The fourth proportional to 9,602.38, 14,409.24 and 4,055.36 is: 6,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.38 : 14,409.24 = 4,055.36 : x
  2. Step 2: Convert to fraction form
    9,602.38/14,409.24 = 4,055.36/x
  3. Step 3: Cross multiply
    9,602.38x = 14,409.24 × 4,055.36
  4. Step 4: Simplify right side
    9,602.38x = 58,434,655.53
  5. Step 5: Solve for x
    x = 58,434,655.53/9,602.38
  6. Step 6: Final answer
    x = 6,085.43

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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.