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Finding the Fourth Proportional to 6,316.47, 9,474.74 and 1,636.16

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Solution

The fourth proportional to 6,316.47, 9,474.74 and 1,636.16 is: 2,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.47 : 9,474.74 = 1,636.16 : x
  2. Step 2: Convert to fraction form
    6,316.47/9,474.74 = 1,636.16/x
  3. Step 3: Cross multiply
    6,316.47x = 9,474.74 × 1,636.16
  4. Step 4: Simplify right side
    6,316.47x = 15,502,147.32
  5. Step 5: Solve for x
    x = 15,502,147.32/6,316.47
  6. Step 6: Final answer
    x = 2,454.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.