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Finding the Fourth Proportional to 9,287.35, 12,817.44 and 5,307.70

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Solution

The fourth proportional to 9,287.35, 12,817.44 and 5,307.70 is: 7,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.35 : 12,817.44 = 5,307.70 : x
  2. Step 2: Convert to fraction form
    9,287.35/12,817.44 = 5,307.70/x
  3. Step 3: Cross multiply
    9,287.35x = 12,817.44 × 5,307.70
  4. Step 4: Simplify right side
    9,287.35x = 68,031,118.28
  5. Step 5: Solve for x
    x = 68,031,118.28/9,287.35
  6. Step 6: Final answer
    x = 7,325.14

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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.