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Finding the Fourth Proportional to 9,823.74, 14,730.03 and 6,707.51

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Solution

The fourth proportional to 9,823.74, 14,730.03 and 6,707.51 is: 10,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.74 : 14,730.03 = 6,707.51 : x
  2. Step 2: Convert to fraction form
    9,823.74/14,730.03 = 6,707.51/x
  3. Step 3: Cross multiply
    9,823.74x = 14,730.03 × 6,707.51
  4. Step 4: Simplify right side
    9,823.74x = 98,801,749.88
  5. Step 5: Solve for x
    x = 98,801,749.88/9,823.74
  6. Step 6: Final answer
    x = 10,057.45

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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.