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Finding the Fourth Proportional to 9,307.27, 12,806.49 and 9,085.83

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Solution

The fourth proportional to 9,307.27, 12,806.49 and 9,085.83 is: 12,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.27 : 12,806.49 = 9,085.83 : x
  2. Step 2: Convert to fraction form
    9,307.27/12,806.49 = 9,085.83/x
  3. Step 3: Cross multiply
    9,307.27x = 12,806.49 × 9,085.83
  4. Step 4: Simplify right side
    9,307.27x = 116,357,591.04
  5. Step 5: Solve for x
    x = 116,357,591.04/9,307.27
  6. Step 6: Final answer
    x = 12,501.80

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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.