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Finding the Fourth Proportional to 9,979.66, 14,969.54 and 2,583.60

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Solution

The fourth proportional to 9,979.66, 14,969.54 and 2,583.60 is: 3,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.66 : 14,969.54 = 2,583.60 : x
  2. Step 2: Convert to fraction form
    9,979.66/14,969.54 = 2,583.60/x
  3. Step 3: Cross multiply
    9,979.66x = 14,969.54 × 2,583.60
  4. Step 4: Simplify right side
    9,979.66x = 38,675,303.54
  5. Step 5: Solve for x
    x = 38,675,303.54/9,979.66
  6. Step 6: Final answer
    x = 3,875.41

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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.