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Finding the Fourth Proportional to 9,706.45, 14,559.66 and 3,132.76

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Solution

The fourth proportional to 9,706.45, 14,559.66 and 3,132.76 is: 4,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.45 : 14,559.66 = 3,132.76 : x
  2. Step 2: Convert to fraction form
    9,706.45/14,559.66 = 3,132.76/x
  3. Step 3: Cross multiply
    9,706.45x = 14,559.66 × 3,132.76
  4. Step 4: Simplify right side
    9,706.45x = 45,611,920.46
  5. Step 5: Solve for x
    x = 45,611,920.46/9,706.45
  6. Step 6: Final answer
    x = 4,699.14

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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.