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Finding the Fourth Proportional to 6,211.64, 9,303.06 and 3,741.06

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Solution

The fourth proportional to 6,211.64, 9,303.06 and 3,741.06 is: 5,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.64 : 9,303.06 = 3,741.06 : x
  2. Step 2: Convert to fraction form
    6,211.64/9,303.06 = 3,741.06/x
  3. Step 3: Cross multiply
    6,211.64x = 9,303.06 × 3,741.06
  4. Step 4: Simplify right side
    6,211.64x = 34,803,305.64
  5. Step 5: Solve for x
    x = 34,803,305.64/6,211.64
  6. Step 6: Final answer
    x = 5,602.92

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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.