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Finding the Fourth Proportional to 9,952.12, 14,929.80 and 3,025

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Solution

The fourth proportional to 9,952.12, 14,929.80 and 3,025 is: 4,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.12 : 14,929.80 = 3,025 : x
  2. Step 2: Convert to fraction form
    9,952.12/14,929.80 = 3,025/x
  3. Step 3: Cross multiply
    9,952.12x = 14,929.80 × 3,025
  4. Step 4: Simplify right side
    9,952.12x = 45,162,645
  5. Step 5: Solve for x
    x = 45,162,645/9,952.12
  6. Step 6: Final answer
    x = 4,537.99

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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.