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Finding the Fourth Proportional to 9,775.99, 14,652.26 and 4,503.77

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Solution

The fourth proportional to 9,775.99, 14,652.26 and 4,503.77 is: 6,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.99 : 14,652.26 = 4,503.77 : x
  2. Step 2: Convert to fraction form
    9,775.99/14,652.26 = 4,503.77/x
  3. Step 3: Cross multiply
    9,775.99x = 14,652.26 × 4,503.77
  4. Step 4: Simplify right side
    9,775.99x = 65,990,385.08
  5. Step 5: Solve for x
    x = 65,990,385.08/9,775.99
  6. Step 6: Final answer
    x = 6,750.25

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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.