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Finding the Fourth Proportional to 9,487.64, 14,233.26 and 4,293.50

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Solution

The fourth proportional to 9,487.64, 14,233.26 and 4,293.50 is: 6,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.64 : 14,233.26 = 4,293.50 : x
  2. Step 2: Convert to fraction form
    9,487.64/14,233.26 = 4,293.50/x
  3. Step 3: Cross multiply
    9,487.64x = 14,233.26 × 4,293.50
  4. Step 4: Simplify right side
    9,487.64x = 61,110,501.81
  5. Step 5: Solve for x
    x = 61,110,501.81/9,487.64
  6. Step 6: Final answer
    x = 6,441.06

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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.