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Finding the Fourth Proportional to 9,807.23, 14,709.40 and 3,233.47

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Solution

The fourth proportional to 9,807.23, 14,709.40 and 3,233.47 is: 4,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.23 : 14,709.40 = 3,233.47 : x
  2. Step 2: Convert to fraction form
    9,807.23/14,709.40 = 3,233.47/x
  3. Step 3: Cross multiply
    9,807.23x = 14,709.40 × 3,233.47
  4. Step 4: Simplify right side
    9,807.23x = 47,562,386.34
  5. Step 5: Solve for x
    x = 47,562,386.34/9,807.23
  6. Step 6: Final answer
    x = 4,849.73

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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.