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Finding the Fourth Proportional to 9,892.56, 14,836.50 and 2,870.70

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Solution

The fourth proportional to 9,892.56, 14,836.50 and 2,870.70 is: 4,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.56 : 14,836.50 = 2,870.70 : x
  2. Step 2: Convert to fraction form
    9,892.56/14,836.50 = 2,870.70/x
  3. Step 3: Cross multiply
    9,892.56x = 14,836.50 × 2,870.70
  4. Step 4: Simplify right side
    9,892.56x = 42,591,140.55
  5. Step 5: Solve for x
    x = 42,591,140.55/9,892.56
  6. Step 6: Final answer
    x = 4,305.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.