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Finding the Fourth Proportional to 6,411,224.14, 8,847,406.11 and 3,657,840.46

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Solution

The fourth proportional to 6,411,224.14, 8,847,406.11 and 3,657,840.46 is: 5,047,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,224.14 : 8,847,406.11 = 3,657,840.46 : x
  2. Step 2: Convert to fraction form
    6,411,224.14/8,847,406.11 = 3,657,840.46/x
  3. Step 3: Cross multiply
    6,411,224.14x = 8,847,406.11 × 3,657,840.46
  4. Step 4: Simplify right side
    6,411,224.14x = 32,362,400,035,209.21
  5. Step 5: Solve for x
    x = 32,362,400,035,209.21/6,411,224.14
  6. Step 6: Final answer
    x = 5,047,772.36

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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.