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Finding the Fourth Proportional to 9,823.52, 13,556.72 and 5,347.46

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Solution

The fourth proportional to 9,823.52, 13,556.72 and 5,347.46 is: 7,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.52 : 13,556.72 = 5,347.46 : x
  2. Step 2: Convert to fraction form
    9,823.52/13,556.72 = 5,347.46/x
  3. Step 3: Cross multiply
    9,823.52x = 13,556.72 × 5,347.46
  4. Step 4: Simplify right side
    9,823.52x = 72,494,065.19
  5. Step 5: Solve for x
    x = 72,494,065.19/9,823.52
  6. Step 6: Final answer
    x = 7,379.64

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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.