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Finding the Fourth Proportional to 9,841.59, 14,733.14 and 9,828.63

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Solution

The fourth proportional to 9,841.59, 14,733.14 and 9,828.63 is: 14,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.59 : 14,733.14 = 9,828.63 : x
  2. Step 2: Convert to fraction form
    9,841.59/14,733.14 = 9,828.63/x
  3. Step 3: Cross multiply
    9,841.59x = 14,733.14 × 9,828.63
  4. Step 4: Simplify right side
    9,841.59x = 144,806,532.66
  5. Step 5: Solve for x
    x = 144,806,532.66/9,841.59
  6. Step 6: Final answer
    x = 14,713.73

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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.