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Finding the Fourth Proportional to 6,911,582.82, 9,537,988.34 and 3,855,797.07

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Solution

The fourth proportional to 6,911,582.82, 9,537,988.34 and 3,855,797.07 is: 5,321,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911,582.82 : 9,537,988.34 = 3,855,797.07 : x
  2. Step 2: Convert to fraction form
    6,911,582.82/9,537,988.34 = 3,855,797.07/x
  3. Step 3: Cross multiply
    6,911,582.82x = 9,537,988.34 × 3,855,797.07
  4. Step 4: Simplify right side
    6,911,582.82x = 36,776,547,468,938.20
  5. Step 5: Solve for x
    x = 36,776,547,468,938.20/6,911,582.82
  6. Step 6: Final answer
    x = 5,321,002.21

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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.