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Finding the Fourth Proportional to 7,059.47, 9,743.24 and 3,916.67

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Solution

The fourth proportional to 7,059.47, 9,743.24 and 3,916.67 is: 5,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.47 : 9,743.24 = 3,916.67 : x
  2. Step 2: Convert to fraction form
    7,059.47/9,743.24 = 3,916.67/x
  3. Step 3: Cross multiply
    7,059.47x = 9,743.24 × 3,916.67
  4. Step 4: Simplify right side
    7,059.47x = 38,161,036.23
  5. Step 5: Solve for x
    x = 38,161,036.23/7,059.47
  6. Step 6: Final answer
    x = 5,405.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.