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Finding the Fourth Proportional to 6,085.95, 9,113.16 and 5,214.04

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Solution

The fourth proportional to 6,085.95, 9,113.16 and 5,214.04 is: 7,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.95 : 9,113.16 = 5,214.04 : x
  2. Step 2: Convert to fraction form
    6,085.95/9,113.16 = 5,214.04/x
  3. Step 3: Cross multiply
    6,085.95x = 9,113.16 × 5,214.04
  4. Step 4: Simplify right side
    6,085.95x = 47,516,348.21
  5. Step 5: Solve for x
    x = 47,516,348.21/6,085.95
  6. Step 6: Final answer
    x = 7,807.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.