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Finding the Fourth Proportional to 6,768,973.82, 9,340,628.64 and 3,713,188.07

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Solution

The fourth proportional to 6,768,973.82, 9,340,628.64 and 3,713,188.07 is: 5,123,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,973.82 : 9,340,628.64 = 3,713,188.07 : x
  2. Step 2: Convert to fraction form
    6,768,973.82/9,340,628.64 = 3,713,188.07/x
  3. Step 3: Cross multiply
    6,768,973.82x = 9,340,628.64 × 3,713,188.07
  4. Step 4: Simplify right side
    6,768,973.82x = 34,683,510,841,775.44
  5. Step 5: Solve for x
    x = 34,683,510,841,775.44/6,768,973.82
  6. Step 6: Final answer
    x = 5,123,894.96

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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.