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Finding the Fourth Proportional to 9,554.86, 13,184.07 and 5,305.24

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Solution

The fourth proportional to 9,554.86, 13,184.07 and 5,305.24 is: 7,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.86 : 13,184.07 = 5,305.24 : x
  2. Step 2: Convert to fraction form
    9,554.86/13,184.07 = 5,305.24/x
  3. Step 3: Cross multiply
    9,554.86x = 13,184.07 × 5,305.24
  4. Step 4: Simplify right side
    9,554.86x = 69,944,655.53
  5. Step 5: Solve for x
    x = 69,944,655.53/9,554.86
  6. Step 6: Final answer
    x = 7,320.32

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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.