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Finding the Fourth Proportional to 7,005.44, 9,666.84 and 4,020.56

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Solution

The fourth proportional to 7,005.44, 9,666.84 and 4,020.56 is: 5,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.44 : 9,666.84 = 4,020.56 : x
  2. Step 2: Convert to fraction form
    7,005.44/9,666.84 = 4,020.56/x
  3. Step 3: Cross multiply
    7,005.44x = 9,666.84 × 4,020.56
  4. Step 4: Simplify right side
    7,005.44x = 38,866,110.23
  5. Step 5: Solve for x
    x = 38,866,110.23/7,005.44
  6. Step 6: Final answer
    x = 5,547.99

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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.