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Finding the Fourth Proportional to 9,357.84, 14,040 and 6,250.32

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Solution

The fourth proportional to 9,357.84, 14,040 and 6,250.32 is: 9,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.84 : 14,040 = 6,250.32 : x
  2. Step 2: Convert to fraction form
    9,357.84/14,040 = 6,250.32/x
  3. Step 3: Cross multiply
    9,357.84x = 14,040 × 6,250.32
  4. Step 4: Simplify right side
    9,357.84x = 87,754,492.80
  5. Step 5: Solve for x
    x = 87,754,492.80/9,357.84
  6. Step 6: Final answer
    x = 9,377.64

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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.