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Finding the Fourth Proportional to 9,307,674.70, 13,961,512.05 and 6,473,322.70

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Solution

The fourth proportional to 9,307,674.70, 13,961,512.05 and 6,473,322.70 is: 9,709,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,674.70 : 13,961,512.05 = 6,473,322.70 : x
  2. Step 2: Convert to fraction form
    9,307,674.70/13,961,512.05 = 6,473,322.70/x
  3. Step 3: Cross multiply
    9,307,674.70x = 13,961,512.05 × 6,473,322.70
  4. Step 4: Simplify right side
    9,307,674.70x = 90,377,372,879,588.55
  5. Step 5: Solve for x
    x = 90,377,372,879,588.55/9,307,674.70
  6. Step 6: Final answer
    x = 9,709,984.05

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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.