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Finding the Fourth Proportional to 9,665.74, 14,501.10 and 2,740.24

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Solution

The fourth proportional to 9,665.74, 14,501.10 and 2,740.24 is: 4,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.74 : 14,501.10 = 2,740.24 : x
  2. Step 2: Convert to fraction form
    9,665.74/14,501.10 = 2,740.24/x
  3. Step 3: Cross multiply
    9,665.74x = 14,501.10 × 2,740.24
  4. Step 4: Simplify right side
    9,665.74x = 39,736,494.26
  5. Step 5: Solve for x
    x = 39,736,494.26/9,665.74
  6. Step 6: Final answer
    x = 4,111.07

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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.