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Finding the Fourth Proportional to 9,805.36, 14,671.20 and 5,842.08

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Solution

The fourth proportional to 9,805.36, 14,671.20 and 5,842.08 is: 8,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.36 : 14,671.20 = 5,842.08 : x
  2. Step 2: Convert to fraction form
    9,805.36/14,671.20 = 5,842.08/x
  3. Step 3: Cross multiply
    9,805.36x = 14,671.20 × 5,842.08
  4. Step 4: Simplify right side
    9,805.36x = 85,710,324.10
  5. Step 5: Solve for x
    x = 85,710,324.10/9,805.36
  6. Step 6: Final answer
    x = 8,741.17

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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.