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Finding the Fourth Proportional to 7,148,698.32, 9,865,157.43 and 4,093,503.06

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Solution

The fourth proportional to 7,148,698.32, 9,865,157.43 and 4,093,503.06 is: 5,649,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,698.32 : 9,865,157.43 = 4,093,503.06 : x
  2. Step 2: Convert to fraction form
    7,148,698.32/9,865,157.43 = 4,093,503.06/x
  3. Step 3: Cross multiply
    7,148,698.32x = 9,865,157.43 × 4,093,503.06
  4. Step 4: Simplify right side
    7,148,698.32x = 40,383,052,127,086.73
  5. Step 5: Solve for x
    x = 40,383,052,127,086.73/7,148,698.32
  6. Step 6: Final answer
    x = 5,649,007.74

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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.