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Finding the Fourth Proportional to 9,492.96, 13,105.08 and 6,510

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Solution

The fourth proportional to 9,492.96, 13,105.08 and 6,510 is: 8,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.96 : 13,105.08 = 6,510 : x
  2. Step 2: Convert to fraction form
    9,492.96/13,105.08 = 6,510/x
  3. Step 3: Cross multiply
    9,492.96x = 13,105.08 × 6,510
  4. Step 4: Simplify right side
    9,492.96x = 85,314,070.80
  5. Step 5: Solve for x
    x = 85,314,070.80/9,492.96
  6. Step 6: Final answer
    x = 8,987.09

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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.