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Finding the Fourth Proportional to 6,500.97, 8,973.63 and 3,848.37

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Solution

The fourth proportional to 6,500.97, 8,973.63 and 3,848.37 is: 5,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.97 : 8,973.63 = 3,848.37 : x
  2. Step 2: Convert to fraction form
    6,500.97/8,973.63 = 3,848.37/x
  3. Step 3: Cross multiply
    6,500.97x = 8,973.63 × 3,848.37
  4. Step 4: Simplify right side
    6,500.97x = 34,533,848.48
  5. Step 5: Solve for x
    x = 34,533,848.48/6,500.97
  6. Step 6: Final answer
    x = 5,312.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.