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Finding the Fourth Proportional to 6,929.97, 9,559.93 and 4,913.81

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Solution

The fourth proportional to 6,929.97, 9,559.93 and 4,913.81 is: 6,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.97 : 9,559.93 = 4,913.81 : x
  2. Step 2: Convert to fraction form
    6,929.97/9,559.93 = 4,913.81/x
  3. Step 3: Cross multiply
    6,929.97x = 9,559.93 × 4,913.81
  4. Step 4: Simplify right side
    6,929.97x = 46,975,703.53
  5. Step 5: Solve for x
    x = 46,975,703.53/6,929.97
  6. Step 6: Final answer
    x = 6,778.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.