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Finding the Fourth Proportional to 9,714,004.20, 14,558,564.70 and 7,458,964.20

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Solution

The fourth proportional to 9,714,004.20, 14,558,564.70 and 7,458,964.20 is: 11,178,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,004.20 : 14,558,564.70 = 7,458,964.20 : x
  2. Step 2: Convert to fraction form
    9,714,004.20/14,558,564.70 = 7,458,964.20/x
  3. Step 3: Cross multiply
    9,714,004.20x = 14,558,564.70 × 7,458,964.20
  4. Step 4: Simplify right side
    9,714,004.20x = 108,591,812,900,683.73
  5. Step 5: Solve for x
    x = 108,591,812,900,683.73/9,714,004.20
  6. Step 6: Final answer
    x = 11,178,892.93

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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.