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Finding the Fourth Proportional to 9,709,213.60, 13,567,704.80 and 9,709,213.60

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Solution

The fourth proportional to 9,709,213.60, 13,567,704.80 and 9,709,213.60 is: 13,567,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709,213.60 : 13,567,704.80 = 9,709,213.60 : x
  2. Step 2: Convert to fraction form
    9,709,213.60/13,567,704.80 = 9,709,213.60/x
  3. Step 3: Cross multiply
    9,709,213.60x = 13,567,704.80 × 9,709,213.60
  4. Step 4: Simplify right side
    9,709,213.60x = 131,731,743,964,945.28
  5. Step 5: Solve for x
    x = 131,731,743,964,945.28/9,709,213.60
  6. Step 6: Final answer
    x = 13,567,704.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.