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Finding the Fourth Proportional to 6,830.07, 9,426.96 and 4,315.48

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Solution

The fourth proportional to 6,830.07, 9,426.96 and 4,315.48 is: 5,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.07 : 9,426.96 = 4,315.48 : x
  2. Step 2: Convert to fraction form
    6,830.07/9,426.96 = 4,315.48/x
  3. Step 3: Cross multiply
    6,830.07x = 9,426.96 × 4,315.48
  4. Step 4: Simplify right side
    6,830.07x = 40,681,821.64
  5. Step 5: Solve for x
    x = 40,681,821.64/6,830.07
  6. Step 6: Final answer
    x = 5,956.28

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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.