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Finding the Fourth Proportional to 9,310.14, 13,965.21 and 4,382.10

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Solution

The fourth proportional to 9,310.14, 13,965.21 and 4,382.10 is: 6,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.14 : 13,965.21 = 4,382.10 : x
  2. Step 2: Convert to fraction form
    9,310.14/13,965.21 = 4,382.10/x
  3. Step 3: Cross multiply
    9,310.14x = 13,965.21 × 4,382.10
  4. Step 4: Simplify right side
    9,310.14x = 61,196,946.74
  5. Step 5: Solve for x
    x = 61,196,946.74/9,310.14
  6. Step 6: Final answer
    x = 6,573.15

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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.