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Finding the Fourth Proportional to 9,870.38, 14,806.48 and 2,850.32

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Solution

The fourth proportional to 9,870.38, 14,806.48 and 2,850.32 is: 4,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.38 : 14,806.48 = 2,850.32 : x
  2. Step 2: Convert to fraction form
    9,870.38/14,806.48 = 2,850.32/x
  3. Step 3: Cross multiply
    9,870.38x = 14,806.48 × 2,850.32
  4. Step 4: Simplify right side
    9,870.38x = 42,203,206.07
  5. Step 5: Solve for x
    x = 42,203,206.07/9,870.38
  6. Step 6: Final answer
    x = 4,275.74

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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.