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Finding the Fourth Proportional to 9,200.26, 12,681.16 and 6,508

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Solution

The fourth proportional to 9,200.26, 12,681.16 and 6,508 is: 8,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.26 : 12,681.16 = 6,508 : x
  2. Step 2: Convert to fraction form
    9,200.26/12,681.16 = 6,508/x
  3. Step 3: Cross multiply
    9,200.26x = 12,681.16 × 6,508
  4. Step 4: Simplify right side
    9,200.26x = 82,528,989.28
  5. Step 5: Solve for x
    x = 82,528,989.28/9,200.26
  6. Step 6: Final answer
    x = 8,970.29

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Why These Related Problems?

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