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Finding the Fourth Proportional to 9,573.42, 13,210.90 and 5,324.46

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Solution

The fourth proportional to 9,573.42, 13,210.90 and 5,324.46 is: 7,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.42 : 13,210.90 = 5,324.46 : x
  2. Step 2: Convert to fraction form
    9,573.42/13,210.90 = 5,324.46/x
  3. Step 3: Cross multiply
    9,573.42x = 13,210.90 × 5,324.46
  4. Step 4: Simplify right side
    9,573.42x = 70,340,908.61
  5. Step 5: Solve for x
    x = 70,340,908.61/9,573.42
  6. Step 6: Final answer
    x = 7,347.52

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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.