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Finding the Fourth Proportional to 9,570.66, 13,209.12 and 5,592.30

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Solution

The fourth proportional to 9,570.66, 13,209.12 and 5,592.30 is: 7,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.66 : 13,209.12 = 5,592.30 : x
  2. Step 2: Convert to fraction form
    9,570.66/13,209.12 = 5,592.30/x
  3. Step 3: Cross multiply
    9,570.66x = 13,209.12 × 5,592.30
  4. Step 4: Simplify right side
    9,570.66x = 73,869,361.78
  5. Step 5: Solve for x
    x = 73,869,361.78/9,570.66
  6. Step 6: Final answer
    x = 7,718.31

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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.