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Finding the Fourth Proportional to 7,147.64, 9,863.42 and 4,315.70

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Solution

The fourth proportional to 7,147.64, 9,863.42 and 4,315.70 is: 5,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.64 : 9,863.42 = 4,315.70 : x
  2. Step 2: Convert to fraction form
    7,147.64/9,863.42 = 4,315.70/x
  3. Step 3: Cross multiply
    7,147.64x = 9,863.42 × 4,315.70
  4. Step 4: Simplify right side
    7,147.64x = 42,567,561.69
  5. Step 5: Solve for x
    x = 42,567,561.69/7,147.64
  6. Step 6: Final answer
    x = 5,955.47

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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.