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Finding the Fourth Proportional to 9,284.38, 13,956.69 and 7,455.52

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Solution

The fourth proportional to 9,284.38, 13,956.69 and 7,455.52 is: 11,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.38 : 13,956.69 = 7,455.52 : x
  2. Step 2: Convert to fraction form
    9,284.38/13,956.69 = 7,455.52/x
  3. Step 3: Cross multiply
    9,284.38x = 13,956.69 × 7,455.52
  4. Step 4: Simplify right side
    9,284.38x = 104,054,381.43
  5. Step 5: Solve for x
    x = 104,054,381.43/9,284.38
  6. Step 6: Final answer
    x = 11,207.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.