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Finding the Fourth Proportional to 9,468.51, 14,205.32 and 2,894.52

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Solution

The fourth proportional to 9,468.51, 14,205.32 and 2,894.52 is: 4,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.51 : 14,205.32 = 2,894.52 : x
  2. Step 2: Convert to fraction form
    9,468.51/14,205.32 = 2,894.52/x
  3. Step 3: Cross multiply
    9,468.51x = 14,205.32 × 2,894.52
  4. Step 4: Simplify right side
    9,468.51x = 41,117,582.85
  5. Step 5: Solve for x
    x = 41,117,582.85/9,468.51
  6. Step 6: Final answer
    x = 4,342.56

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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.