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Finding the Fourth Proportional to 9,507.64, 14,266.87 and 4,827.92

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Solution

The fourth proportional to 9,507.64, 14,266.87 and 4,827.92 is: 7,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.64 : 14,266.87 = 4,827.92 : x
  2. Step 2: Convert to fraction form
    9,507.64/14,266.87 = 4,827.92/x
  3. Step 3: Cross multiply
    9,507.64x = 14,266.87 × 4,827.92
  4. Step 4: Simplify right side
    9,507.64x = 68,879,264.04
  5. Step 5: Solve for x
    x = 68,879,264.04/9,507.64
  6. Step 6: Final answer
    x = 7,244.62

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Why These Related Problems?

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