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Finding the Fourth Proportional to 7,148.22, 9,863.28 and 4,314.84

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Solution

The fourth proportional to 7,148.22, 9,863.28 and 4,314.84 is: 5,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.22 : 9,863.28 = 4,314.84 : x
  2. Step 2: Convert to fraction form
    7,148.22/9,863.28 = 4,314.84/x
  3. Step 3: Cross multiply
    7,148.22x = 9,863.28 × 4,314.84
  4. Step 4: Simplify right side
    7,148.22x = 42,558,475.08
  5. Step 5: Solve for x
    x = 42,558,475.08/7,148.22
  6. Step 6: Final answer
    x = 5,953.72

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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.