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Finding the Fourth Proportional to 9,765.84, 14,643.18 and 3,101.08

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Solution

The fourth proportional to 9,765.84, 14,643.18 and 3,101.08 is: 4,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.84 : 14,643.18 = 3,101.08 : x
  2. Step 2: Convert to fraction form
    9,765.84/14,643.18 = 3,101.08/x
  3. Step 3: Cross multiply
    9,765.84x = 14,643.18 × 3,101.08
  4. Step 4: Simplify right side
    9,765.84x = 45,409,672.63
  5. Step 5: Solve for x
    x = 45,409,672.63/9,765.84
  6. Step 6: Final answer
    x = 4,649.85

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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.