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Finding the Fourth Proportional to 9,543.58, 14,318.78 and 5,802.97

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Solution

The fourth proportional to 9,543.58, 14,318.78 and 5,802.97 is: 8,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.58 : 14,318.78 = 5,802.97 : x
  2. Step 2: Convert to fraction form
    9,543.58/14,318.78 = 5,802.97/x
  3. Step 3: Cross multiply
    9,543.58x = 14,318.78 × 5,802.97
  4. Step 4: Simplify right side
    9,543.58x = 83,091,450.78
  5. Step 5: Solve for x
    x = 83,091,450.78/9,543.58
  6. Step 6: Final answer
    x = 8,706.53

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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.