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Finding the Fourth Proportional to 9,766.59, 14,649.89 and 2,370.93

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Solution

The fourth proportional to 9,766.59, 14,649.89 and 2,370.93 is: 3,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.59 : 14,649.89 = 2,370.93 : x
  2. Step 2: Convert to fraction form
    9,766.59/14,649.89 = 2,370.93/x
  3. Step 3: Cross multiply
    9,766.59x = 14,649.89 × 2,370.93
  4. Step 4: Simplify right side
    9,766.59x = 34,733,851.84
  5. Step 5: Solve for x
    x = 34,733,851.84/9,766.59
  6. Step 6: Final answer
    x = 3,556.40

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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.