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Finding the Fourth Proportional to 9,364.14, 14,066.66 and 6,914.70

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Solution

The fourth proportional to 9,364.14, 14,066.66 and 6,914.70 is: 10,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.14 : 14,066.66 = 6,914.70 : x
  2. Step 2: Convert to fraction form
    9,364.14/14,066.66 = 6,914.70/x
  3. Step 3: Cross multiply
    9,364.14x = 14,066.66 × 6,914.70
  4. Step 4: Simplify right side
    9,364.14x = 97,266,751.19
  5. Step 5: Solve for x
    x = 97,266,751.19/9,364.14
  6. Step 6: Final answer
    x = 10,387.15

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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.