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Finding the Fourth Proportional to 6,048.91, 9,021.62 and 5,313.34

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Solution

The fourth proportional to 6,048.91, 9,021.62 and 5,313.34 is: 7,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.91 : 9,021.62 = 5,313.34 : x
  2. Step 2: Convert to fraction form
    6,048.91/9,021.62 = 5,313.34/x
  3. Step 3: Cross multiply
    6,048.91x = 9,021.62 × 5,313.34
  4. Step 4: Simplify right side
    6,048.91x = 47,934,925.14
  5. Step 5: Solve for x
    x = 47,934,925.14/6,048.91
  6. Step 6: Final answer
    x = 7,924.56

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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.