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Finding the Fourth Proportional to 9,500.04, 14,242.14 and 3,655.08

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Solution

The fourth proportional to 9,500.04, 14,242.14 and 3,655.08 is: 5,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.04 : 14,242.14 = 3,655.08 : x
  2. Step 2: Convert to fraction form
    9,500.04/14,242.14 = 3,655.08/x
  3. Step 3: Cross multiply
    9,500.04x = 14,242.14 × 3,655.08
  4. Step 4: Simplify right side
    9,500.04x = 52,056,161.07
  5. Step 5: Solve for x
    x = 52,056,161.07/9,500.04
  6. Step 6: Final answer
    x = 5,479.57

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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.