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Finding the Fourth Proportional to 8,733.76, 13,088.82 and 6,263.16

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Solution

The fourth proportional to 8,733.76, 13,088.82 and 6,263.16 is: 9,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.76 : 13,088.82 = 6,263.16 : x
  2. Step 2: Convert to fraction form
    8,733.76/13,088.82 = 6,263.16/x
  3. Step 3: Cross multiply
    8,733.76x = 13,088.82 × 6,263.16
  4. Step 4: Simplify right side
    8,733.76x = 81,977,348.27
  5. Step 5: Solve for x
    x = 81,977,348.27/8,733.76
  6. Step 6: Final answer
    x = 9,386.26

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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.