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Finding the Fourth Proportional to 6,295.93, 9,443.48 and 1,913.42

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Solution

The fourth proportional to 6,295.93, 9,443.48 and 1,913.42 is: 2,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.93 : 9,443.48 = 1,913.42 : x
  2. Step 2: Convert to fraction form
    6,295.93/9,443.48 = 1,913.42/x
  3. Step 3: Cross multiply
    6,295.93x = 9,443.48 × 1,913.42
  4. Step 4: Simplify right side
    6,295.93x = 18,069,343.50
  5. Step 5: Solve for x
    x = 18,069,343.50/6,295.93
  6. Step 6: Final answer
    x = 2,870.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.