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Finding the Fourth Proportional to 6,447.06, 9,588.47 and 6,377.94

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Solution

The fourth proportional to 6,447.06, 9,588.47 and 6,377.94 is: 9,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.06 : 9,588.47 = 6,377.94 : x
  2. Step 2: Convert to fraction form
    6,447.06/9,588.47 = 6,377.94/x
  3. Step 3: Cross multiply
    6,447.06x = 9,588.47 × 6,377.94
  4. Step 4: Simplify right side
    6,447.06x = 61,154,654.46
  5. Step 5: Solve for x
    x = 61,154,654.46/6,447.06
  6. Step 6: Final answer
    x = 9,485.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.