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Finding the Fourth Proportional to 6,287.08, 9,425.76 and 4,207

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Solution

The fourth proportional to 6,287.08, 9,425.76 and 4,207 is: 6,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.08 : 9,425.76 = 4,207 : x
  2. Step 2: Convert to fraction form
    6,287.08/9,425.76 = 4,207/x
  3. Step 3: Cross multiply
    6,287.08x = 9,425.76 × 4,207
  4. Step 4: Simplify right side
    6,287.08x = 39,654,172.32
  5. Step 5: Solve for x
    x = 39,654,172.32/6,287.08
  6. Step 6: Final answer
    x = 6,307.25

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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.