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Finding the Fourth Proportional to 6,978.96, 9,634.95 and 4,624.29

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Solution

The fourth proportional to 6,978.96, 9,634.95 and 4,624.29 is: 6,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.96 : 9,634.95 = 4,624.29 : x
  2. Step 2: Convert to fraction form
    6,978.96/9,634.95 = 4,624.29/x
  3. Step 3: Cross multiply
    6,978.96x = 9,634.95 × 4,624.29
  4. Step 4: Simplify right side
    6,978.96x = 44,554,802.94
  5. Step 5: Solve for x
    x = 44,554,802.94/6,978.96
  6. Step 6: Final answer
    x = 6,384.16

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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.