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Finding the Fourth Proportional to 8,209,358.70, 12,314,038.05 and 8,097,384.30

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Solution

The fourth proportional to 8,209,358.70, 12,314,038.05 and 8,097,384.30 is: 12,146,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209,358.70 : 12,314,038.05 = 8,097,384.30 : x
  2. Step 2: Convert to fraction form
    8,209,358.70/12,314,038.05 = 8,097,384.30/x
  3. Step 3: Cross multiply
    8,209,358.70x = 12,314,038.05 × 8,097,384.30
  4. Step 4: Simplify right side
    8,209,358.70x = 99,711,498,375,672.62
  5. Step 5: Solve for x
    x = 99,711,498,375,672.62/8,209,358.70
  6. Step 6: Final answer
    x = 12,146,076.45

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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.