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Finding the Fourth Proportional to 9,291.30, 12,822.38 and 5,312.41

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Solution

The fourth proportional to 9,291.30, 12,822.38 and 5,312.41 is: 7,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.30 : 12,822.38 = 5,312.41 : x
  2. Step 2: Convert to fraction form
    9,291.30/12,822.38 = 5,312.41/x
  3. Step 3: Cross multiply
    9,291.30x = 12,822.38 × 5,312.41
  4. Step 4: Simplify right side
    9,291.30x = 68,117,803.05
  5. Step 5: Solve for x
    x = 68,117,803.05/9,291.30
  6. Step 6: Final answer
    x = 7,331.35

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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.