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Finding the Fourth Proportional to 9,142.45, 13,718.04 and 6,335.63

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Solution

The fourth proportional to 9,142.45, 13,718.04 and 6,335.63 is: 9,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.45 : 13,718.04 = 6,335.63 : x
  2. Step 2: Convert to fraction form
    9,142.45/13,718.04 = 6,335.63/x
  3. Step 3: Cross multiply
    9,142.45x = 13,718.04 × 6,335.63
  4. Step 4: Simplify right side
    9,142.45x = 86,912,420.50
  5. Step 5: Solve for x
    x = 86,912,420.50/9,142.45
  6. Step 6: Final answer
    x = 9,506.47

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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.