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Finding the Fourth Proportional to 9,619.92, 13,276.32 and 5,428.92

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Solution

The fourth proportional to 9,619.92, 13,276.32 and 5,428.92 is: 7,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.92 : 13,276.32 = 5,428.92 : x
  2. Step 2: Convert to fraction form
    9,619.92/13,276.32 = 5,428.92/x
  3. Step 3: Cross multiply
    9,619.92x = 13,276.32 × 5,428.92
  4. Step 4: Simplify right side
    9,619.92x = 72,076,079.17
  5. Step 5: Solve for x
    x = 72,076,079.17/9,619.92
  6. Step 6: Final answer
    x = 7,492.38

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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.