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Finding the Fourth Proportional to 9,927.36, 14,898.24 and 8,002.80

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Solution

The fourth proportional to 9,927.36, 14,898.24 and 8,002.80 is: 12,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.36 : 14,898.24 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    9,927.36/14,898.24 = 8,002.80/x
  3. Step 3: Cross multiply
    9,927.36x = 14,898.24 × 8,002.80
  4. Step 4: Simplify right side
    9,927.36x = 119,227,635.07
  5. Step 5: Solve for x
    x = 119,227,635.07/9,927.36
  6. Step 6: Final answer
    x = 12,010.00

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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.