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Finding the Fourth Proportional to 9,706.66, 14,556.40 and 3,465

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Solution

The fourth proportional to 9,706.66, 14,556.40 and 3,465 is: 5,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.66 : 14,556.40 = 3,465 : x
  2. Step 2: Convert to fraction form
    9,706.66/14,556.40 = 3,465/x
  3. Step 3: Cross multiply
    9,706.66x = 14,556.40 × 3,465
  4. Step 4: Simplify right side
    9,706.66x = 50,437,917.34
  5. Step 5: Solve for x
    x = 50,437,917.34/9,706.66
  6. Step 6: Final answer
    x = 5,196.22

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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.