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Finding the Fourth Proportional to 9,318.84, 13,980.69 and 3,475.50

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Solution

The fourth proportional to 9,318.84, 13,980.69 and 3,475.50 is: 5,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.84 : 13,980.69 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    9,318.84/13,980.69 = 3,475.50/x
  3. Step 3: Cross multiply
    9,318.84x = 13,980.69 × 3,475.50
  4. Step 4: Simplify right side
    9,318.84x = 48,589,888.10
  5. Step 5: Solve for x
    x = 48,589,888.10/9,318.84
  6. Step 6: Final answer
    x = 5,214.16

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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.