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Finding the Fourth Proportional to 9,287.36, 12,817.43 and 5,307.69

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Solution

The fourth proportional to 9,287.36, 12,817.43 and 5,307.69 is: 7,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.36 : 12,817.43 = 5,307.69 : x
  2. Step 2: Convert to fraction form
    9,287.36/12,817.43 = 5,307.69/x
  3. Step 3: Cross multiply
    9,287.36x = 12,817.43 × 5,307.69
  4. Step 4: Simplify right side
    9,287.36x = 68,030,918.50
  5. Step 5: Solve for x
    x = 68,030,918.50/9,287.36
  6. Step 6: Final answer
    x = 7,325.11

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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.