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Finding the Fourth Proportional to 9,477.09, 14,218.37 and 2,904.25

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Solution

The fourth proportional to 9,477.09, 14,218.37 and 2,904.25 is: 4,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.09 : 14,218.37 = 2,904.25 : x
  2. Step 2: Convert to fraction form
    9,477.09/14,218.37 = 2,904.25/x
  3. Step 3: Cross multiply
    9,477.09x = 14,218.37 × 2,904.25
  4. Step 4: Simplify right side
    9,477.09x = 41,293,615.46
  5. Step 5: Solve for x
    x = 41,293,615.46/9,477.09
  6. Step 6: Final answer
    x = 4,357.20

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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.