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Finding the Fourth Proportional to 9,509.70, 14,269.95 and 3,666.66

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Solution

The fourth proportional to 9,509.70, 14,269.95 and 3,666.66 is: 5,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.70 : 14,269.95 = 3,666.66 : x
  2. Step 2: Convert to fraction form
    9,509.70/14,269.95 = 3,666.66/x
  3. Step 3: Cross multiply
    9,509.70x = 14,269.95 × 3,666.66
  4. Step 4: Simplify right side
    9,509.70x = 52,323,054.87
  5. Step 5: Solve for x
    x = 52,323,054.87/9,509.70
  6. Step 6: Final answer
    x = 5,502.07

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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.