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Finding the Fourth Proportional to 9,975,180.65, 13,765,755.21 and 5,564,906.30

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Solution

The fourth proportional to 9,975,180.65, 13,765,755.21 and 5,564,906.30 is: 7,679,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975,180.65 : 13,765,755.21 = 5,564,906.30 : x
  2. Step 2: Convert to fraction form
    9,975,180.65/13,765,755.21 = 5,564,906.30/x
  3. Step 3: Cross multiply
    9,975,180.65x = 13,765,755.21 × 5,564,906.30
  4. Step 4: Simplify right side
    9,975,180.65x = 76,605,137,892,386.83
  5. Step 5: Solve for x
    x = 76,605,137,892,386.83/9,975,180.65
  6. Step 6: Final answer
    x = 7,679,573.99

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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.