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Finding the Fourth Proportional to 6,892.00, 9,510.33 and 4,656.87

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Solution

The fourth proportional to 6,892.00, 9,510.33 and 4,656.87 is: 6,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.00 : 9,510.33 = 4,656.87 : x
  2. Step 2: Convert to fraction form
    6,892.00/9,510.33 = 4,656.87/x
  3. Step 3: Cross multiply
    6,892.00x = 9,510.33 × 4,656.87
  4. Step 4: Simplify right side
    6,892.00x = 44,288,370.47
  5. Step 5: Solve for x
    x = 44,288,370.47/6,892.00
  6. Step 6: Final answer
    x = 6,426.06

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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.