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Finding the Fourth Proportional to 9,802.86, 14,698.37 and 3,952.64

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Solution

The fourth proportional to 9,802.86, 14,698.37 and 3,952.64 is: 5,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.86 : 14,698.37 = 3,952.64 : x
  2. Step 2: Convert to fraction form
    9,802.86/14,698.37 = 3,952.64/x
  3. Step 3: Cross multiply
    9,802.86x = 14,698.37 × 3,952.64
  4. Step 4: Simplify right side
    9,802.86x = 58,097,271.94
  5. Step 5: Solve for x
    x = 58,097,271.94/9,802.86
  6. Step 6: Final answer
    x = 5,926.56

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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.