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Finding the Fourth Proportional to 9,502.50, 14,248.53 and 3,259.02

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Solution

The fourth proportional to 9,502.50, 14,248.53 and 3,259.02 is: 4,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.50 : 14,248.53 = 3,259.02 : x
  2. Step 2: Convert to fraction form
    9,502.50/14,248.53 = 3,259.02/x
  3. Step 3: Cross multiply
    9,502.50x = 14,248.53 × 3,259.02
  4. Step 4: Simplify right side
    9,502.50x = 46,436,244.24
  5. Step 5: Solve for x
    x = 46,436,244.24/9,502.50
  6. Step 6: Final answer
    x = 4,886.74

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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.