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Finding the Fourth Proportional to 9,871.74, 14,802.09 and 4,021.50

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Solution

The fourth proportional to 9,871.74, 14,802.09 and 4,021.50 is: 6,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.74 : 14,802.09 = 4,021.50 : x
  2. Step 2: Convert to fraction form
    9,871.74/14,802.09 = 4,021.50/x
  3. Step 3: Cross multiply
    9,871.74x = 14,802.09 × 4,021.50
  4. Step 4: Simplify right side
    9,871.74x = 59,526,604.94
  5. Step 5: Solve for x
    x = 59,526,604.94/9,871.74
  6. Step 6: Final answer
    x = 6,030.00

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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.