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Finding the Fourth Proportional to 6,924,892.41, 9,556,846.25 and 3,827,349.14

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Solution

The fourth proportional to 6,924,892.41, 9,556,846.25 and 3,827,349.14 is: 5,282,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924,892.41 : 9,556,846.25 = 3,827,349.14 : x
  2. Step 2: Convert to fraction form
    6,924,892.41/9,556,846.25 = 3,827,349.14/x
  3. Step 3: Cross multiply
    6,924,892.41x = 9,556,846.25 × 3,827,349.14
  4. Step 4: Simplify right side
    6,924,892.41x = 36,577,387,209,128.74
  5. Step 5: Solve for x
    x = 36,577,387,209,128.74/6,924,892.41
  6. Step 6: Final answer
    x = 5,282,015.23

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