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Finding the Fourth Proportional to 9,525.60, 13,139.01 and 7,533

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Solution

The fourth proportional to 9,525.60, 13,139.01 and 7,533 is: 10,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.60 : 13,139.01 = 7,533 : x
  2. Step 2: Convert to fraction form
    9,525.60/13,139.01 = 7,533/x
  3. Step 3: Cross multiply
    9,525.60x = 13,139.01 × 7,533
  4. Step 4: Simplify right side
    9,525.60x = 98,976,162.33
  5. Step 5: Solve for x
    x = 98,976,162.33/9,525.60
  6. Step 6: Final answer
    x = 10,390.54

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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.