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Finding the Fourth Proportional to 9,833.76, 14,750.60 and 3,990.35

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Solution

The fourth proportional to 9,833.76, 14,750.60 and 3,990.35 is: 5,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.76 : 14,750.60 = 3,990.35 : x
  2. Step 2: Convert to fraction form
    9,833.76/14,750.60 = 3,990.35/x
  3. Step 3: Cross multiply
    9,833.76x = 14,750.60 × 3,990.35
  4. Step 4: Simplify right side
    9,833.76x = 58,859,963.01
  5. Step 5: Solve for x
    x = 58,859,963.01/9,833.76
  6. Step 6: Final answer
    x = 5,985.50

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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.