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Finding the Fourth Proportional to 9,811.76, 14,712 and 3,236.16

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Solution

The fourth proportional to 9,811.76, 14,712 and 3,236.16 is: 4,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.76 : 14,712 = 3,236.16 : x
  2. Step 2: Convert to fraction form
    9,811.76/14,712 = 3,236.16/x
  3. Step 3: Cross multiply
    9,811.76x = 14,712 × 3,236.16
  4. Step 4: Simplify right side
    9,811.76x = 47,610,385.92
  5. Step 5: Solve for x
    x = 47,610,385.92/9,811.76
  6. Step 6: Final answer
    x = 4,852.38

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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.