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Finding the Fourth Proportional to 9,706.35, 14,556.36 and 3,131.00

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Solution

The fourth proportional to 9,706.35, 14,556.36 and 3,131.00 is: 4,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.35 : 14,556.36 = 3,131.00 : x
  2. Step 2: Convert to fraction form
    9,706.35/14,556.36 = 3,131.00/x
  3. Step 3: Cross multiply
    9,706.35x = 14,556.36 × 3,131.00
  4. Step 4: Simplify right side
    9,706.35x = 45,575,948.67
  5. Step 5: Solve for x
    x = 45,575,948.67/9,706.35
  6. Step 6: Final answer
    x = 4,695.48

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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.