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Finding the Fourth Proportional to 9,090.83, 12,545.12 and 5,946.95

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Solution

The fourth proportional to 9,090.83, 12,545.12 and 5,946.95 is: 8,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.83 : 12,545.12 = 5,946.95 : x
  2. Step 2: Convert to fraction form
    9,090.83/12,545.12 = 5,946.95/x
  3. Step 3: Cross multiply
    9,090.83x = 12,545.12 × 5,946.95
  4. Step 4: Simplify right side
    9,090.83x = 74,605,153.53
  5. Step 5: Solve for x
    x = 74,605,153.53/9,090.83
  6. Step 6: Final answer
    x = 8,206.64

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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.