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Finding the Fourth Proportional to 7,140.02, 9,856.95 and 4,452.05

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Solution

The fourth proportional to 7,140.02, 9,856.95 and 4,452.05 is: 6,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.02 : 9,856.95 = 4,452.05 : x
  2. Step 2: Convert to fraction form
    7,140.02/9,856.95 = 4,452.05/x
  3. Step 3: Cross multiply
    7,140.02x = 9,856.95 × 4,452.05
  4. Step 4: Simplify right side
    7,140.02x = 43,883,584.96
  5. Step 5: Solve for x
    x = 43,883,584.96/7,140.02
  6. Step 6: Final answer
    x = 6,146.15

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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.