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Finding the Fourth Proportional to 7,196.29, 9,928.07 and 4,506.40

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Solution

The fourth proportional to 7,196.29, 9,928.07 and 4,506.40 is: 6,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.29 : 9,928.07 = 4,506.40 : x
  2. Step 2: Convert to fraction form
    7,196.29/9,928.07 = 4,506.40/x
  3. Step 3: Cross multiply
    7,196.29x = 9,928.07 × 4,506.40
  4. Step 4: Simplify right side
    7,196.29x = 44,739,861.43
  5. Step 5: Solve for x
    x = 44,739,861.43/7,196.29
  6. Step 6: Final answer
    x = 6,217.07

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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.