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Finding the Fourth Proportional to 9,840.09, 13,583.12 and 7,208.40

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Solution

The fourth proportional to 9,840.09, 13,583.12 and 7,208.40 is: 9,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.09 : 13,583.12 = 7,208.40 : x
  2. Step 2: Convert to fraction form
    9,840.09/13,583.12 = 7,208.40/x
  3. Step 3: Cross multiply
    9,840.09x = 13,583.12 × 7,208.40
  4. Step 4: Simplify right side
    9,840.09x = 97,912,526.17
  5. Step 5: Solve for x
    x = 97,912,526.17/9,840.09
  6. Step 6: Final answer
    x = 9,950.37

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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.