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Finding the Fourth Proportional to 9,300.36, 12,833.06 and 5,946.15

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Solution

The fourth proportional to 9,300.36, 12,833.06 and 5,946.15 is: 8,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.36 : 12,833.06 = 5,946.15 : x
  2. Step 2: Convert to fraction form
    9,300.36/12,833.06 = 5,946.15/x
  3. Step 3: Cross multiply
    9,300.36x = 12,833.06 × 5,946.15
  4. Step 4: Simplify right side
    9,300.36x = 76,307,269.99
  5. Step 5: Solve for x
    x = 76,307,269.99/9,300.36
  6. Step 6: Final answer
    x = 8,204.77

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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.