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Finding the Fourth Proportional to 9,838.16, 14,760.93 and 5,892.19

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Solution

The fourth proportional to 9,838.16, 14,760.93 and 5,892.19 is: 8,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.16 : 14,760.93 = 5,892.19 : x
  2. Step 2: Convert to fraction form
    9,838.16/14,760.93 = 5,892.19/x
  3. Step 3: Cross multiply
    9,838.16x = 14,760.93 × 5,892.19
  4. Step 4: Simplify right side
    9,838.16x = 86,974,272.36
  5. Step 5: Solve for x
    x = 86,974,272.36/9,838.16
  6. Step 6: Final answer
    x = 8,840.50

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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.