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Finding the Fourth Proportional to 7,128.69, 9,838.16 and 4,145.10

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Solution

The fourth proportional to 7,128.69, 9,838.16 and 4,145.10 is: 5,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.69 : 9,838.16 = 4,145.10 : x
  2. Step 2: Convert to fraction form
    7,128.69/9,838.16 = 4,145.10/x
  3. Step 3: Cross multiply
    7,128.69x = 9,838.16 × 4,145.10
  4. Step 4: Simplify right side
    7,128.69x = 40,780,157.02
  5. Step 5: Solve for x
    x = 40,780,157.02/7,128.69
  6. Step 6: Final answer
    x = 5,720.57

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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.