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Finding the Fourth Proportional to 9,210.64, 13,803.72 and 3,361.72

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Solution

The fourth proportional to 9,210.64, 13,803.72 and 3,361.72 is: 5,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.64 : 13,803.72 = 3,361.72 : x
  2. Step 2: Convert to fraction form
    9,210.64/13,803.72 = 3,361.72/x
  3. Step 3: Cross multiply
    9,210.64x = 13,803.72 × 3,361.72
  4. Step 4: Simplify right side
    9,210.64x = 46,404,241.60
  5. Step 5: Solve for x
    x = 46,404,241.60/9,210.64
  6. Step 6: Final answer
    x = 5,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.