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Finding the Fourth Proportional to 7,004.84, 9,666.54 and 3,818.16

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Solution

The fourth proportional to 7,004.84, 9,666.54 and 3,818.16 is: 5,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.84 : 9,666.54 = 3,818.16 : x
  2. Step 2: Convert to fraction form
    7,004.84/9,666.54 = 3,818.16/x
  3. Step 3: Cross multiply
    7,004.84x = 9,666.54 × 3,818.16
  4. Step 4: Simplify right side
    7,004.84x = 36,908,434.85
  5. Step 5: Solve for x
    x = 36,908,434.85/7,004.84
  6. Step 6: Final answer
    x = 5,268.99

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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.