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Finding the Fourth Proportional to 9,815.94, 13,550.49 and 6,458.91

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Solution

The fourth proportional to 9,815.94, 13,550.49 and 6,458.91 is: 8,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.94 : 13,550.49 = 6,458.91 : x
  2. Step 2: Convert to fraction form
    9,815.94/13,550.49 = 6,458.91/x
  3. Step 3: Cross multiply
    9,815.94x = 13,550.49 × 6,458.91
  4. Step 4: Simplify right side
    9,815.94x = 87,521,395.37
  5. Step 5: Solve for x
    x = 87,521,395.37/9,815.94
  6. Step 6: Final answer
    x = 8,916.25

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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.