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Finding the Fourth Proportional to 9,362.84, 14,047.50 and 6,255.32

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Solution

The fourth proportional to 9,362.84, 14,047.50 and 6,255.32 is: 9,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.84 : 14,047.50 = 6,255.32 : x
  2. Step 2: Convert to fraction form
    9,362.84/14,047.50 = 6,255.32/x
  3. Step 3: Cross multiply
    9,362.84x = 14,047.50 × 6,255.32
  4. Step 4: Simplify right side
    9,362.84x = 87,871,607.70
  5. Step 5: Solve for x
    x = 87,871,607.70/9,362.84
  6. Step 6: Final answer
    x = 9,385.14

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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.