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Finding the Fourth Proportional to 9,286.09, 12,804.20 and 6,598.13

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Solution

The fourth proportional to 9,286.09, 12,804.20 and 6,598.13 is: 9,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.09 : 12,804.20 = 6,598.13 : x
  2. Step 2: Convert to fraction form
    9,286.09/12,804.20 = 6,598.13/x
  3. Step 3: Cross multiply
    9,286.09x = 12,804.20 × 6,598.13
  4. Step 4: Simplify right side
    9,286.09x = 84,483,830.47
  5. Step 5: Solve for x
    x = 84,483,830.47/9,286.09
  6. Step 6: Final answer
    x = 9,097.89

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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.