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Finding the Fourth Proportional to 6,995,667.84, 9,658,478.88 and 5,709,575.76

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Solution

The fourth proportional to 6,995,667.84, 9,658,478.88 and 5,709,575.76 is: 7,882,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995,667.84 : 9,658,478.88 = 5,709,575.76 : x
  2. Step 2: Convert to fraction form
    6,995,667.84/9,658,478.88 = 5,709,575.76/x
  3. Step 3: Cross multiply
    6,995,667.84x = 9,658,478.88 × 5,709,575.76
  4. Step 4: Simplify right side
    6,995,667.84x = 55,145,816,891,719.95
  5. Step 5: Solve for x
    x = 55,145,816,891,719.95/6,995,667.84
  6. Step 6: Final answer
    x = 7,882,852.38

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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.