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Finding the Fourth Proportional to 9,518.86, 14,283.42 and 4,520.08

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Solution

The fourth proportional to 9,518.86, 14,283.42 and 4,520.08 is: 6,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.86 : 14,283.42 = 4,520.08 : x
  2. Step 2: Convert to fraction form
    9,518.86/14,283.42 = 4,520.08/x
  3. Step 3: Cross multiply
    9,518.86x = 14,283.42 × 4,520.08
  4. Step 4: Simplify right side
    9,518.86x = 64,562,201.07
  5. Step 5: Solve for x
    x = 64,562,201.07/9,518.86
  6. Step 6: Final answer
    x = 6,782.56

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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.