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Finding the Fourth Proportional to 6,883,375.74, 9,499,066.39 and 3,827,524.38

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Solution

The fourth proportional to 6,883,375.74, 9,499,066.39 and 3,827,524.38 is: 5,281,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883,375.74 : 9,499,066.39 = 3,827,524.38 : x
  2. Step 2: Convert to fraction form
    6,883,375.74/9,499,066.39 = 3,827,524.38/x
  3. Step 3: Cross multiply
    6,883,375.74x = 9,499,066.39 × 3,827,524.38
  4. Step 4: Simplify right side
    6,883,375.74x = 36,357,908,194,963.59
  5. Step 5: Solve for x
    x = 36,357,908,194,963.59/6,883,375.74
  6. Step 6: Final answer
    x = 5,281,988.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.