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Finding the Fourth Proportional to 9,600.42, 14,405.48 and 4,409.94

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Solution

The fourth proportional to 9,600.42, 14,405.48 and 4,409.94 is: 6,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.42 : 14,405.48 = 4,409.94 : x
  2. Step 2: Convert to fraction form
    9,600.42/14,405.48 = 4,409.94/x
  3. Step 3: Cross multiply
    9,600.42x = 14,405.48 × 4,409.94
  4. Step 4: Simplify right side
    9,600.42x = 63,527,302.47
  5. Step 5: Solve for x
    x = 63,527,302.47/9,600.42
  6. Step 6: Final answer
    x = 6,617.14

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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.