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Finding the Fourth Proportional to 9,813.84, 13,548.24 and 7,570.86

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Solution

The fourth proportional to 9,813.84, 13,548.24 and 7,570.86 is: 10,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.84 : 13,548.24 = 7,570.86 : x
  2. Step 2: Convert to fraction form
    9,813.84/13,548.24 = 7,570.86/x
  3. Step 3: Cross multiply
    9,813.84x = 13,548.24 × 7,570.86
  4. Step 4: Simplify right side
    9,813.84x = 102,571,828.29
  5. Step 5: Solve for x
    x = 102,571,828.29/9,813.84
  6. Step 6: Final answer
    x = 10,451.75

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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.