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Finding the Fourth Proportional to 9,984.72, 14,952.48 and 6,277.77

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Solution

The fourth proportional to 9,984.72, 14,952.48 and 6,277.77 is: 9,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.72 : 14,952.48 = 6,277.77 : x
  2. Step 2: Convert to fraction form
    9,984.72/14,952.48 = 6,277.77/x
  3. Step 3: Cross multiply
    9,984.72x = 14,952.48 × 6,277.77
  4. Step 4: Simplify right side
    9,984.72x = 93,868,230.37
  5. Step 5: Solve for x
    x = 93,868,230.37/9,984.72
  6. Step 6: Final answer
    x = 9,401.19

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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.