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Finding the Fourth Proportional to 6,466.96, 9,701.40 and 2,362

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Solution

The fourth proportional to 6,466.96, 9,701.40 and 2,362 is: 3,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.96 : 9,701.40 = 2,362 : x
  2. Step 2: Convert to fraction form
    6,466.96/9,701.40 = 2,362/x
  3. Step 3: Cross multiply
    6,466.96x = 9,701.40 × 2,362
  4. Step 4: Simplify right side
    6,466.96x = 22,914,706.80
  5. Step 5: Solve for x
    x = 22,914,706.80/6,466.96
  6. Step 6: Final answer
    x = 3,543.35

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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.