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Finding the Fourth Proportional to 6,973.84, 9,623.84 and 3,830.08

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Solution

The fourth proportional to 6,973.84, 9,623.84 and 3,830.08 is: 5,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.84 : 9,623.84 = 3,830.08 : x
  2. Step 2: Convert to fraction form
    6,973.84/9,623.84 = 3,830.08/x
  3. Step 3: Cross multiply
    6,973.84x = 9,623.84 × 3,830.08
  4. Step 4: Simplify right side
    6,973.84x = 36,860,077.11
  5. Step 5: Solve for x
    x = 36,860,077.11/6,973.84
  6. Step 6: Final answer
    x = 5,285.48

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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.