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Finding the Fourth Proportional to 10,739.74, 14,827.72 and 9,618.70

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Solution

The fourth proportional to 10,739.74, 14,827.72 and 9,618.70 is: 13,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.74 : 14,827.72 = 9,618.70 : x
  2. Step 2: Convert to fraction form
    10,739.74/14,827.72 = 9,618.70/x
  3. Step 3: Cross multiply
    10,739.74x = 14,827.72 × 9,618.70
  4. Step 4: Simplify right side
    10,739.74x = 142,623,390.36
  5. Step 5: Solve for x
    x = 142,623,390.36/10,739.74
  6. Step 6: Final answer
    x = 13,279.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.