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Finding the Fourth Proportional to 9,952.07, 14,895.27 and 5,502.87

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Solution

The fourth proportional to 9,952.07, 14,895.27 and 5,502.87 is: 8,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.07 : 14,895.27 = 5,502.87 : x
  2. Step 2: Convert to fraction form
    9,952.07/14,895.27 = 5,502.87/x
  3. Step 3: Cross multiply
    9,952.07x = 14,895.27 × 5,502.87
  4. Step 4: Simplify right side
    9,952.07x = 81,966,734.42
  5. Step 5: Solve for x
    x = 81,966,734.42/9,952.07
  6. Step 6: Final answer
    x = 8,236.15

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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.