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Finding the Fourth Proportional to 9,684.48, 13,368.66 and 6,544.92

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Solution

The fourth proportional to 9,684.48, 13,368.66 and 6,544.92 is: 9,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.48 : 13,368.66 = 6,544.92 : x
  2. Step 2: Convert to fraction form
    9,684.48/13,368.66 = 6,544.92/x
  3. Step 3: Cross multiply
    9,684.48x = 13,368.66 × 6,544.92
  4. Step 4: Simplify right side
    9,684.48x = 87,496,810.21
  5. Step 5: Solve for x
    x = 87,496,810.21/9,684.48
  6. Step 6: Final answer
    x = 9,034.75

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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.