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Finding the Fourth Proportional to 9,594.86, 14,394.24 and 4,048.20

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Solution

The fourth proportional to 9,594.86, 14,394.24 and 4,048.20 is: 6,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.86 : 14,394.24 = 4,048.20 : x
  2. Step 2: Convert to fraction form
    9,594.86/14,394.24 = 4,048.20/x
  3. Step 3: Cross multiply
    9,594.86x = 14,394.24 × 4,048.20
  4. Step 4: Simplify right side
    9,594.86x = 58,270,762.37
  5. Step 5: Solve for x
    x = 58,270,762.37/9,594.86
  6. Step 6: Final answer
    x = 6,073.13

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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.