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Finding the Fourth Proportional to 9,310.13, 13,962.23 and 3,068.98

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Solution

The fourth proportional to 9,310.13, 13,962.23 and 3,068.98 is: 4,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.13 : 13,962.23 = 3,068.98 : x
  2. Step 2: Convert to fraction form
    9,310.13/13,962.23 = 3,068.98/x
  3. Step 3: Cross multiply
    9,310.13x = 13,962.23 × 3,068.98
  4. Step 4: Simplify right side
    9,310.13x = 42,849,861.68
  5. Step 5: Solve for x
    x = 42,849,861.68/9,310.13
  6. Step 6: Final answer
    x = 4,602.50

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Why These Related Problems?

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