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Finding the Fourth Proportional to 9,200.42, 12,696.98 and 5,221.91

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Solution

The fourth proportional to 9,200.42, 12,696.98 and 5,221.91 is: 7,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.42 : 12,696.98 = 5,221.91 : x
  2. Step 2: Convert to fraction form
    9,200.42/12,696.98 = 5,221.91/x
  3. Step 3: Cross multiply
    9,200.42x = 12,696.98 × 5,221.91
  4. Step 4: Simplify right side
    9,200.42x = 66,302,421.04
  5. Step 5: Solve for x
    x = 66,302,421.04/9,200.42
  6. Step 6: Final answer
    x = 7,206.45

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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.