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Finding the Fourth Proportional to 6,602.64, 9,110.52 and 4,085.16

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Solution

The fourth proportional to 6,602.64, 9,110.52 and 4,085.16 is: 5,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.64 : 9,110.52 = 4,085.16 : x
  2. Step 2: Convert to fraction form
    6,602.64/9,110.52 = 4,085.16/x
  3. Step 3: Cross multiply
    6,602.64x = 9,110.52 × 4,085.16
  4. Step 4: Simplify right side
    6,602.64x = 37,217,931.88
  5. Step 5: Solve for x
    x = 37,217,931.88/6,602.64
  6. Step 6: Final answer
    x = 5,636.83

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