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Finding the Fourth Proportional to 7,196.42, 9,931.90 and 4,363.76

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Solution

The fourth proportional to 7,196.42, 9,931.90 and 4,363.76 is: 6,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.42 : 9,931.90 = 4,363.76 : x
  2. Step 2: Convert to fraction form
    7,196.42/9,931.90 = 4,363.76/x
  3. Step 3: Cross multiply
    7,196.42x = 9,931.90 × 4,363.76
  4. Step 4: Simplify right side
    7,196.42x = 43,340,427.94
  5. Step 5: Solve for x
    x = 43,340,427.94/7,196.42
  6. Step 6: Final answer
    x = 6,022.50

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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.