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Finding the Fourth Proportional to 9,482.35, 14,203 and 6,185.44

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Solution

The fourth proportional to 9,482.35, 14,203 and 6,185.44 is: 9,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.35 : 14,203 = 6,185.44 : x
  2. Step 2: Convert to fraction form
    9,482.35/14,203 = 6,185.44/x
  3. Step 3: Cross multiply
    9,482.35x = 14,203 × 6,185.44
  4. Step 4: Simplify right side
    9,482.35x = 87,851,804.32
  5. Step 5: Solve for x
    x = 87,851,804.32/9,482.35
  6. Step 6: Final answer
    x = 9,264.77

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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.