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Finding the Fourth Proportional to 9,428.12, 14,134.89 and 6,308

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Solution

The fourth proportional to 9,428.12, 14,134.89 and 6,308 is: 9,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.12 : 14,134.89 = 6,308 : x
  2. Step 2: Convert to fraction form
    9,428.12/14,134.89 = 6,308/x
  3. Step 3: Cross multiply
    9,428.12x = 14,134.89 × 6,308
  4. Step 4: Simplify right side
    9,428.12x = 89,162,886.12
  5. Step 5: Solve for x
    x = 89,162,886.12/9,428.12
  6. Step 6: Final answer
    x = 9,457.12

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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.