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Finding the Fourth Proportional to 9,661.60, 14,492.40 and 2,736.10

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Solution

The fourth proportional to 9,661.60, 14,492.40 and 2,736.10 is: 4,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.60 : 14,492.40 = 2,736.10 : x
  2. Step 2: Convert to fraction form
    9,661.60/14,492.40 = 2,736.10/x
  3. Step 3: Cross multiply
    9,661.60x = 14,492.40 × 2,736.10
  4. Step 4: Simplify right side
    9,661.60x = 39,652,655.64
  5. Step 5: Solve for x
    x = 39,652,655.64/9,661.60
  6. Step 6: Final answer
    x = 4,104.15

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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.