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Finding the Fourth Proportional to 9,904.09, 14,846.12 and 6,208.90

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Solution

The fourth proportional to 9,904.09, 14,846.12 and 6,208.90 is: 9,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.09 : 14,846.12 = 6,208.90 : x
  2. Step 2: Convert to fraction form
    9,904.09/14,846.12 = 6,208.90/x
  3. Step 3: Cross multiply
    9,904.09x = 14,846.12 × 6,208.90
  4. Step 4: Simplify right side
    9,904.09x = 92,178,074.47
  5. Step 5: Solve for x
    x = 92,178,074.47/9,904.09
  6. Step 6: Final answer
    x = 9,307.07

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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.