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Finding the Fourth Proportional to 9,536.50, 14,300.19 and 2,962.74

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Solution

The fourth proportional to 9,536.50, 14,300.19 and 2,962.74 is: 4,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.50 : 14,300.19 = 2,962.74 : x
  2. Step 2: Convert to fraction form
    9,536.50/14,300.19 = 2,962.74/x
  3. Step 3: Cross multiply
    9,536.50x = 14,300.19 × 2,962.74
  4. Step 4: Simplify right side
    9,536.50x = 42,367,744.92
  5. Step 5: Solve for x
    x = 42,367,744.92/9,536.50
  6. Step 6: Final answer
    x = 4,442.69

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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.