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Finding the Fourth Proportional to 9,303.84, 13,955.72 and 3,380.72

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Solution

The fourth proportional to 9,303.84, 13,955.72 and 3,380.72 is: 5,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.84 : 13,955.72 = 3,380.72 : x
  2. Step 2: Convert to fraction form
    9,303.84/13,955.72 = 3,380.72/x
  3. Step 3: Cross multiply
    9,303.84x = 13,955.72 × 3,380.72
  4. Step 4: Simplify right side
    9,303.84x = 47,180,295.04
  5. Step 5: Solve for x
    x = 47,180,295.04/9,303.84
  6. Step 6: Final answer
    x = 5,071.06

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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.