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Finding the Fourth Proportional to 9,303.56, 13,957.76 and 4,113.08

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Solution

The fourth proportional to 9,303.56, 13,957.76 and 4,113.08 is: 6,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.56 : 13,957.76 = 4,113.08 : x
  2. Step 2: Convert to fraction form
    9,303.56/13,957.76 = 4,113.08/x
  3. Step 3: Cross multiply
    9,303.56x = 13,957.76 × 4,113.08
  4. Step 4: Simplify right side
    9,303.56x = 57,409,383.50
  5. Step 5: Solve for x
    x = 57,409,383.50/9,303.56
  6. Step 6: Final answer
    x = 6,170.69

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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.