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Finding the Fourth Proportional to 6,510,340.60, 9,765,510.90 and 6,178,564.60

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Solution

The fourth proportional to 6,510,340.60, 9,765,510.90 and 6,178,564.60 is: 9,267,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,340.60 : 9,765,510.90 = 6,178,564.60 : x
  2. Step 2: Convert to fraction form
    6,510,340.60/9,765,510.90 = 6,178,564.60/x
  3. Step 3: Cross multiply
    6,510,340.60x = 9,765,510.90 × 6,178,564.60
  4. Step 4: Simplify right side
    6,510,340.60x = 60,336,839,947,654.14
  5. Step 5: Solve for x
    x = 60,336,839,947,654.14/6,510,340.60
  6. Step 6: Final answer
    x = 9,267,846.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.