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Finding the Fourth Proportional to 9,259.86, 12,765.30 and 6,602.66

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Solution

The fourth proportional to 9,259.86, 12,765.30 and 6,602.66 is: 9,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.86 : 12,765.30 = 6,602.66 : x
  2. Step 2: Convert to fraction form
    9,259.86/12,765.30 = 6,602.66/x
  3. Step 3: Cross multiply
    9,259.86x = 12,765.30 × 6,602.66
  4. Step 4: Simplify right side
    9,259.86x = 84,284,935.70
  5. Step 5: Solve for x
    x = 84,284,935.70/9,259.86
  6. Step 6: Final answer
    x = 9,102.18

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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.