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Finding the Fourth Proportional to 6,999,835.86, 9,659,715.75 and 3,902,322.15

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Solution

The fourth proportional to 6,999,835.86, 9,659,715.75 and 3,902,322.15 is: 5,385,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999,835.86 : 9,659,715.75 = 3,902,322.15 : x
  2. Step 2: Convert to fraction form
    6,999,835.86/9,659,715.75 = 3,902,322.15/x
  3. Step 3: Cross multiply
    6,999,835.86x = 9,659,715.75 × 3,902,322.15
  4. Step 4: Simplify right side
    6,999,835.86x = 37,695,322,733,928.86
  5. Step 5: Solve for x
    x = 37,695,322,733,928.86/6,999,835.86
  6. Step 6: Final answer
    x = 5,385,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.