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Finding the Fourth Proportional to 9,515.40, 14,284.80 and 6,005.40

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Solution

The fourth proportional to 9,515.40, 14,284.80 and 6,005.40 is: 9,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.40 : 14,284.80 = 6,005.40 : x
  2. Step 2: Convert to fraction form
    9,515.40/14,284.80 = 6,005.40/x
  3. Step 3: Cross multiply
    9,515.40x = 14,284.80 × 6,005.40
  4. Step 4: Simplify right side
    9,515.40x = 85,785,937.92
  5. Step 5: Solve for x
    x = 85,785,937.92/9,515.40
  6. Step 6: Final answer
    x = 9,015.48

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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.