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Finding the Fourth Proportional to 9,707.78, 14,551.29 and 5,023.07

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Solution

The fourth proportional to 9,707.78, 14,551.29 and 5,023.07 is: 7,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.78 : 14,551.29 = 5,023.07 : x
  2. Step 2: Convert to fraction form
    9,707.78/14,551.29 = 5,023.07/x
  3. Step 3: Cross multiply
    9,707.78x = 14,551.29 × 5,023.07
  4. Step 4: Simplify right side
    9,707.78x = 73,092,148.26
  5. Step 5: Solve for x
    x = 73,092,148.26/9,707.78
  6. Step 6: Final answer
    x = 7,529.23

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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.