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Finding the Fourth Proportional to 7,135.64, 9,837.30 and 6,151.40

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Solution

The fourth proportional to 7,135.64, 9,837.30 and 6,151.40 is: 8,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.64 : 9,837.30 = 6,151.40 : x
  2. Step 2: Convert to fraction form
    7,135.64/9,837.30 = 6,151.40/x
  3. Step 3: Cross multiply
    7,135.64x = 9,837.30 × 6,151.40
  4. Step 4: Simplify right side
    7,135.64x = 60,513,167.22
  5. Step 5: Solve for x
    x = 60,513,167.22/7,135.64
  6. Step 6: Final answer
    x = 8,480.41

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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.