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Finding the Fourth Proportional to 9,515.84, 14,270.16 and 4,584.32

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Solution

The fourth proportional to 9,515.84, 14,270.16 and 4,584.32 is: 6,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.84 : 14,270.16 = 4,584.32 : x
  2. Step 2: Convert to fraction form
    9,515.84/14,270.16 = 4,584.32/x
  3. Step 3: Cross multiply
    9,515.84x = 14,270.16 × 4,584.32
  4. Step 4: Simplify right side
    9,515.84x = 65,418,979.89
  5. Step 5: Solve for x
    x = 65,418,979.89/9,515.84
  6. Step 6: Final answer
    x = 6,874.75

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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.