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Finding the Fourth Proportional to 6,536,969.76, 9,821,468.80 and 6,174,409.44

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Solution

The fourth proportional to 6,536,969.76, 9,821,468.80 and 6,174,409.44 is: 9,276,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536,969.76 : 9,821,468.80 = 6,174,409.44 : x
  2. Step 2: Convert to fraction form
    6,536,969.76/9,821,468.80 = 6,174,409.44/x
  3. Step 3: Cross multiply
    6,536,969.76x = 9,821,468.80 × 6,174,409.44
  4. Step 4: Simplify right side
    6,536,969.76x = 60,641,769,673,385.48
  5. Step 5: Solve for x
    x = 60,641,769,673,385.48/6,536,969.76
  6. Step 6: Final answer
    x = 9,276,740.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.