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Finding the Fourth Proportional to 9,374.27, 14,047.32 and 7,023.00

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Solution

The fourth proportional to 9,374.27, 14,047.32 and 7,023.00 is: 10,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.27 : 14,047.32 = 7,023.00 : x
  2. Step 2: Convert to fraction form
    9,374.27/14,047.32 = 7,023.00/x
  3. Step 3: Cross multiply
    9,374.27x = 14,047.32 × 7,023.00
  4. Step 4: Simplify right side
    9,374.27x = 98,654,407.37
  5. Step 5: Solve for x
    x = 98,654,407.37/9,374.27
  6. Step 6: Final answer
    x = 10,523.96

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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.