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Finding the Fourth Proportional to 6,458.78, 9,683.40 and 4,373.60

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Solution

The fourth proportional to 6,458.78, 9,683.40 and 4,373.60 is: 6,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.78 : 9,683.40 = 4,373.60 : x
  2. Step 2: Convert to fraction form
    6,458.78/9,683.40 = 4,373.60/x
  3. Step 3: Cross multiply
    6,458.78x = 9,683.40 × 4,373.60
  4. Step 4: Simplify right side
    6,458.78x = 42,351,318.24
  5. Step 5: Solve for x
    x = 42,351,318.24/6,458.78
  6. Step 6: Final answer
    x = 6,557.17

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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.