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Finding the Fourth Proportional to 9,025.70, 13,502.10 and 7,806.66

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Solution

The fourth proportional to 9,025.70, 13,502.10 and 7,806.66 is: 11,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.70 : 13,502.10 = 7,806.66 : x
  2. Step 2: Convert to fraction form
    9,025.70/13,502.10 = 7,806.66/x
  3. Step 3: Cross multiply
    9,025.70x = 13,502.10 × 7,806.66
  4. Step 4: Simplify right side
    9,025.70x = 105,406,303.99
  5. Step 5: Solve for x
    x = 105,406,303.99/9,025.70
  6. Step 6: Final answer
    x = 11,678.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.