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Finding the Fourth Proportional to 9,828.84, 14,750.39 and 7,370.28

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Solution

The fourth proportional to 9,828.84, 14,750.39 and 7,370.28 is: 11,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.84 : 14,750.39 = 7,370.28 : x
  2. Step 2: Convert to fraction form
    9,828.84/14,750.39 = 7,370.28/x
  3. Step 3: Cross multiply
    9,828.84x = 14,750.39 × 7,370.28
  4. Step 4: Simplify right side
    9,828.84x = 108,714,504.41
  5. Step 5: Solve for x
    x = 108,714,504.41/9,828.84
  6. Step 6: Final answer
    x = 11,060.77

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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.