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Finding the Fourth Proportional to 9,802.96, 14,698.64 and 3,880.24

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Solution

The fourth proportional to 9,802.96, 14,698.64 and 3,880.24 is: 5,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.96 : 14,698.64 = 3,880.24 : x
  2. Step 2: Convert to fraction form
    9,802.96/14,698.64 = 3,880.24/x
  3. Step 3: Cross multiply
    9,802.96x = 14,698.64 × 3,880.24
  4. Step 4: Simplify right side
    9,802.96x = 57,034,250.87
  5. Step 5: Solve for x
    x = 57,034,250.87/9,802.96
  6. Step 6: Final answer
    x = 5,818.06

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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.