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Finding the Fourth Proportional to 6,456.05, 9,670.34 and 4,878.68

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Solution

The fourth proportional to 6,456.05, 9,670.34 and 4,878.68 is: 7,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.05 : 9,670.34 = 4,878.68 : x
  2. Step 2: Convert to fraction form
    6,456.05/9,670.34 = 4,878.68/x
  3. Step 3: Cross multiply
    6,456.05x = 9,670.34 × 4,878.68
  4. Step 4: Simplify right side
    6,456.05x = 47,178,485.15
  5. Step 5: Solve for x
    x = 47,178,485.15/6,456.05
  6. Step 6: Final answer
    x = 7,307.63

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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.