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Finding the Fourth Proportional to 9,570.81, 13,208.16 and 5,322.30

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Solution

The fourth proportional to 9,570.81, 13,208.16 and 5,322.30 is: 7,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.81 : 13,208.16 = 5,322.30 : x
  2. Step 2: Convert to fraction form
    9,570.81/13,208.16 = 5,322.30/x
  3. Step 3: Cross multiply
    9,570.81x = 13,208.16 × 5,322.30
  4. Step 4: Simplify right side
    9,570.81x = 70,297,776.66
  5. Step 5: Solve for x
    x = 70,297,776.66/9,570.81
  6. Step 6: Final answer
    x = 7,345.02

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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.