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Finding the Fourth Proportional to 6,838.17, 10,203.58 and 6,420.21

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Solution

The fourth proportional to 6,838.17, 10,203.58 and 6,420.21 is: 9,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.17 : 10,203.58 = 6,420.21 : x
  2. Step 2: Convert to fraction form
    6,838.17/10,203.58 = 6,420.21/x
  3. Step 3: Cross multiply
    6,838.17x = 10,203.58 × 6,420.21
  4. Step 4: Simplify right side
    6,838.17x = 65,509,126.35
  5. Step 5: Solve for x
    x = 65,509,126.35/6,838.17
  6. Step 6: Final answer
    x = 9,579.92

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