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Finding the Fourth Proportional to 9,808.98, 13,537.56 and 5,830.11

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Solution

The fourth proportional to 9,808.98, 13,537.56 and 5,830.11 is: 8,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.98 : 13,537.56 = 5,830.11 : x
  2. Step 2: Convert to fraction form
    9,808.98/13,537.56 = 5,830.11/x
  3. Step 3: Cross multiply
    9,808.98x = 13,537.56 × 5,830.11
  4. Step 4: Simplify right side
    9,808.98x = 78,925,463.93
  5. Step 5: Solve for x
    x = 78,925,463.93/9,808.98
  6. Step 6: Final answer
    x = 8,046.25

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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.