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Finding the Fourth Proportional to 6,438.94, 9,663.27 and 4,712.02

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Solution

The fourth proportional to 6,438.94, 9,663.27 and 4,712.02 is: 7,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.94 : 9,663.27 = 4,712.02 : x
  2. Step 2: Convert to fraction form
    6,438.94/9,663.27 = 4,712.02/x
  3. Step 3: Cross multiply
    6,438.94x = 9,663.27 × 4,712.02
  4. Step 4: Simplify right side
    6,438.94x = 45,533,521.51
  5. Step 5: Solve for x
    x = 45,533,521.51/6,438.94
  6. Step 6: Final answer
    x = 7,071.59

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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.