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Finding the Fourth Proportional to 9,552.79, 14,230.67 and 9,262.63

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Solution

The fourth proportional to 9,552.79, 14,230.67 and 9,262.63 is: 13,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.79 : 14,230.67 = 9,262.63 : x
  2. Step 2: Convert to fraction form
    9,552.79/14,230.67 = 9,262.63/x
  3. Step 3: Cross multiply
    9,552.79x = 14,230.67 × 9,262.63
  4. Step 4: Simplify right side
    9,552.79x = 131,813,430.86
  5. Step 5: Solve for x
    x = 131,813,430.86/9,552.79
  6. Step 6: Final answer
    x = 13,798.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.