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Finding the Fourth Proportional to 9,402.48, 14,095.53 and 8,024.67

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Solution

The fourth proportional to 9,402.48, 14,095.53 and 8,024.67 is: 12,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.48 : 14,095.53 = 8,024.67 : x
  2. Step 2: Convert to fraction form
    9,402.48/14,095.53 = 8,024.67/x
  3. Step 3: Cross multiply
    9,402.48x = 14,095.53 × 8,024.67
  4. Step 4: Simplify right side
    9,402.48x = 113,111,976.73
  5. Step 5: Solve for x
    x = 113,111,976.73/9,402.48
  6. Step 6: Final answer
    x = 12,030.02

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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.