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Finding the Fourth Proportional to 9,573.06, 13,210.65 and 5,324.16

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Solution

The fourth proportional to 9,573.06, 13,210.65 and 5,324.16 is: 7,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.06 : 13,210.65 = 5,324.16 : x
  2. Step 2: Convert to fraction form
    9,573.06/13,210.65 = 5,324.16/x
  3. Step 3: Cross multiply
    9,573.06x = 13,210.65 × 5,324.16
  4. Step 4: Simplify right side
    9,573.06x = 70,335,614.30
  5. Step 5: Solve for x
    x = 70,335,614.30/9,573.06
  6. Step 6: Final answer
    x = 7,347.24

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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.