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Finding the Fourth Proportional to 9,573.30, 13,210.98 and 5,324.34

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Solution

The fourth proportional to 9,573.30, 13,210.98 and 5,324.34 is: 7,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.30 : 13,210.98 = 5,324.34 : x
  2. Step 2: Convert to fraction form
    9,573.30/13,210.98 = 5,324.34/x
  3. Step 3: Cross multiply
    9,573.30x = 13,210.98 × 5,324.34
  4. Step 4: Simplify right side
    9,573.30x = 70,339,749.25
  5. Step 5: Solve for x
    x = 70,339,749.25/9,573.30
  6. Step 6: Final answer
    x = 7,347.49

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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.