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Finding the Fourth Proportional to 9,765.07, 14,649.86 and 3,191.74

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Solution

The fourth proportional to 9,765.07, 14,649.86 and 3,191.74 is: 4,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.07 : 14,649.86 = 3,191.74 : x
  2. Step 2: Convert to fraction form
    9,765.07/14,649.86 = 3,191.74/x
  3. Step 3: Cross multiply
    9,765.07x = 14,649.86 × 3,191.74
  4. Step 4: Simplify right side
    9,765.07x = 46,758,544.16
  5. Step 5: Solve for x
    x = 46,758,544.16/9,765.07
  6. Step 6: Final answer
    x = 4,788.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.