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Finding the Fourth Proportional to 6,501.06, 8,969.13 and 5,872.50

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Solution

The fourth proportional to 6,501.06, 8,969.13 and 5,872.50 is: 8,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.06 : 8,969.13 = 5,872.50 : x
  2. Step 2: Convert to fraction form
    6,501.06/8,969.13 = 5,872.50/x
  3. Step 3: Cross multiply
    6,501.06x = 8,969.13 × 5,872.50
  4. Step 4: Simplify right side
    6,501.06x = 52,671,215.93
  5. Step 5: Solve for x
    x = 52,671,215.93/6,501.06
  6. Step 6: Final answer
    x = 8,101.94

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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.