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Finding the Fourth Proportional to 9,828.45, 14,713.72 and 6,490.58

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Solution

The fourth proportional to 9,828.45, 14,713.72 and 6,490.58 is: 9,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.45 : 14,713.72 = 6,490.58 : x
  2. Step 2: Convert to fraction form
    9,828.45/14,713.72 = 6,490.58/x
  3. Step 3: Cross multiply
    9,828.45x = 14,713.72 × 6,490.58
  4. Step 4: Simplify right side
    9,828.45x = 95,500,486.96
  5. Step 5: Solve for x
    x = 95,500,486.96/9,828.45
  6. Step 6: Final answer
    x = 9,716.74

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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.