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Finding the Fourth Proportional to 9,423.54, 13,007.18 and 5,647.93

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Solution

The fourth proportional to 9,423.54, 13,007.18 and 5,647.93 is: 7,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.54 : 13,007.18 = 5,647.93 : x
  2. Step 2: Convert to fraction form
    9,423.54/13,007.18 = 5,647.93/x
  3. Step 3: Cross multiply
    9,423.54x = 13,007.18 × 5,647.93
  4. Step 4: Simplify right side
    9,423.54x = 73,463,623.74
  5. Step 5: Solve for x
    x = 73,463,623.74/9,423.54
  6. Step 6: Final answer
    x = 7,795.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.