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Finding the Fourth Proportional to 7,148,598.43, 9,865,019.82 and 4,093,403.17

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Solution

The fourth proportional to 7,148,598.43, 9,865,019.82 and 4,093,403.17 is: 5,648,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,598.43 : 9,865,019.82 = 4,093,403.17 : x
  2. Step 2: Convert to fraction form
    7,148,598.43/9,865,019.82 = 4,093,403.17/x
  3. Step 3: Cross multiply
    7,148,598.43x = 9,865,019.82 × 4,093,403.17
  4. Step 4: Simplify right side
    7,148,598.43x = 40,381,503,403,300.83
  5. Step 5: Solve for x
    x = 40,381,503,403,300.83/7,148,598.43
  6. Step 6: Final answer
    x = 5,648,870.03

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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.