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Finding the Fourth Proportional to 9,652.50, 14,478.72 and 6,341.67

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Solution

The fourth proportional to 9,652.50, 14,478.72 and 6,341.67 is: 9,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 14,478.72 = 6,341.67 : x
  2. Step 2: Convert to fraction form
    9,652.50/14,478.72 = 6,341.67/x
  3. Step 3: Cross multiply
    9,652.50x = 14,478.72 × 6,341.67
  4. Step 4: Simplify right side
    9,652.50x = 91,819,264.26
  5. Step 5: Solve for x
    x = 91,819,264.26/9,652.50
  6. Step 6: Final answer
    x = 9,512.49

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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.