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Finding the Fourth Proportional to 9,477.81, 14,216.71 and 2,903.15

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Solution

The fourth proportional to 9,477.81, 14,216.71 and 2,903.15 is: 4,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.81 : 14,216.71 = 2,903.15 : x
  2. Step 2: Convert to fraction form
    9,477.81/14,216.71 = 2,903.15/x
  3. Step 3: Cross multiply
    9,477.81x = 14,216.71 × 2,903.15
  4. Step 4: Simplify right side
    9,477.81x = 41,273,241.64
  5. Step 5: Solve for x
    x = 41,273,241.64/9,477.81
  6. Step 6: Final answer
    x = 4,354.72

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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.