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Finding the Fourth Proportional to 9,150.84, 12,627.90 and 5,613.48

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Solution

The fourth proportional to 9,150.84, 12,627.90 and 5,613.48 is: 7,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.84 : 12,627.90 = 5,613.48 : x
  2. Step 2: Convert to fraction form
    9,150.84/12,627.90 = 5,613.48/x
  3. Step 3: Cross multiply
    9,150.84x = 12,627.90 × 5,613.48
  4. Step 4: Simplify right side
    9,150.84x = 70,886,464.09
  5. Step 5: Solve for x
    x = 70,886,464.09/9,150.84
  6. Step 6: Final answer
    x = 7,746.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.