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Finding the Fourth Proportional to 6,849,972, 9,452,961.36 and 3,794,384.16

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Solution

The fourth proportional to 6,849,972, 9,452,961.36 and 3,794,384.16 is: 5,236,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849,972 : 9,452,961.36 = 3,794,384.16 : x
  2. Step 2: Convert to fraction form
    6,849,972/9,452,961.36 = 3,794,384.16/x
  3. Step 3: Cross multiply
    6,849,972x = 9,452,961.36 × 3,794,384.16
  4. Step 4: Simplify right side
    6,849,972x = 35,868,166,849,476.05
  5. Step 5: Solve for x
    x = 35,868,166,849,476.05/6,849,972
  6. Step 6: Final answer
    x = 5,236,250.14

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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.