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Finding the Fourth Proportional to 9,224.48, 13,777.88 and 8,345.62

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Solution

The fourth proportional to 9,224.48, 13,777.88 and 8,345.62 is: 12,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.48 : 13,777.88 = 8,345.62 : x
  2. Step 2: Convert to fraction form
    9,224.48/13,777.88 = 8,345.62/x
  3. Step 3: Cross multiply
    9,224.48x = 13,777.88 × 8,345.62
  4. Step 4: Simplify right side
    9,224.48x = 114,984,950.89
  5. Step 5: Solve for x
    x = 114,984,950.89/9,224.48
  6. Step 6: Final answer
    x = 12,465.20

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Why These Related Problems?

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