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Finding the Fourth Proportional to 9,482.99, 14,216.27 and 5,095.31

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Solution

The fourth proportional to 9,482.99, 14,216.27 and 5,095.31 is: 7,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.99 : 14,216.27 = 5,095.31 : x
  2. Step 2: Convert to fraction form
    9,482.99/14,216.27 = 5,095.31/x
  3. Step 3: Cross multiply
    9,482.99x = 14,216.27 × 5,095.31
  4. Step 4: Simplify right side
    9,482.99x = 72,436,206.14
  5. Step 5: Solve for x
    x = 72,436,206.14/9,482.99
  6. Step 6: Final answer
    x = 7,638.54

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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.