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Finding the Fourth Proportional to 9,766.02, 13,462.98 and 6,403.00

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Solution

The fourth proportional to 9,766.02, 13,462.98 and 6,403.00 is: 8,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.02 : 13,462.98 = 6,403.00 : x
  2. Step 2: Convert to fraction form
    9,766.02/13,462.98 = 6,403.00/x
  3. Step 3: Cross multiply
    9,766.02x = 13,462.98 × 6,403.00
  4. Step 4: Simplify right side
    9,766.02x = 86,203,428.51
  5. Step 5: Solve for x
    x = 86,203,428.51/9,766.02
  6. Step 6: Final answer
    x = 8,826.88

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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.