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Finding the Fourth Proportional to 9,708.30, 14,561.64 and 5,023.26

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Solution

The fourth proportional to 9,708.30, 14,561.64 and 5,023.26 is: 7,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.30 : 14,561.64 = 5,023.26 : x
  2. Step 2: Convert to fraction form
    9,708.30/14,561.64 = 5,023.26/x
  3. Step 3: Cross multiply
    9,708.30x = 14,561.64 × 5,023.26
  4. Step 4: Simplify right side
    9,708.30x = 73,146,903.75
  5. Step 5: Solve for x
    x = 73,146,903.75/9,708.30
  6. Step 6: Final answer
    x = 7,534.47

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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.