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Finding the Fourth Proportional to 9,652, 13,319.76 and 5,236

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Solution

The fourth proportional to 9,652, 13,319.76 and 5,236 is: 7,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652 : 13,319.76 = 5,236 : x
  2. Step 2: Convert to fraction form
    9,652/13,319.76 = 5,236/x
  3. Step 3: Cross multiply
    9,652x = 13,319.76 × 5,236
  4. Step 4: Simplify right side
    9,652x = 69,742,263.36
  5. Step 5: Solve for x
    x = 69,742,263.36/9,652
  6. Step 6: Final answer
    x = 7,225.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.