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Finding the Fourth Proportional to 9,532.22, 14,301.43 and 4,602.42

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Solution

The fourth proportional to 9,532.22, 14,301.43 and 4,602.42 is: 6,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.22 : 14,301.43 = 4,602.42 : x
  2. Step 2: Convert to fraction form
    9,532.22/14,301.43 = 4,602.42/x
  3. Step 3: Cross multiply
    9,532.22x = 14,301.43 × 4,602.42
  4. Step 4: Simplify right side
    9,532.22x = 65,821,175.95
  5. Step 5: Solve for x
    x = 65,821,175.95/9,532.22
  6. Step 6: Final answer
    x = 6,905.13

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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.