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Finding the Fourth Proportional to 7,006,304.22, 9,668,705.89 and 3,908,828.22

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Solution

The fourth proportional to 7,006,304.22, 9,668,705.89 and 3,908,828.22 is: 5,394,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006,304.22 : 9,668,705.89 = 3,908,828.22 : x
  2. Step 2: Convert to fraction form
    7,006,304.22/9,668,705.89 = 3,908,828.22/x
  3. Step 3: Cross multiply
    7,006,304.22x = 9,668,705.89 × 3,908,828.22
  4. Step 4: Simplify right side
    7,006,304.22x = 37,793,310,409,070.30
  5. Step 5: Solve for x
    x = 37,793,310,409,070.30/7,006,304.22
  6. Step 6: Final answer
    x = 5,394,186.32

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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.