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Finding the Fourth Proportional to 6,329.84, 9,437.75 and 5,802.91

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Solution

The fourth proportional to 6,329.84, 9,437.75 and 5,802.91 is: 8,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.84 : 9,437.75 = 5,802.91 : x
  2. Step 2: Convert to fraction form
    6,329.84/9,437.75 = 5,802.91/x
  3. Step 3: Cross multiply
    6,329.84x = 9,437.75 × 5,802.91
  4. Step 4: Simplify right side
    6,329.84x = 54,766,361.24
  5. Step 5: Solve for x
    x = 54,766,361.24/6,329.84
  6. Step 6: Final answer
    x = 8,652.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.