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Finding the Fourth Proportional to 9,848.84, 13,596.41 and 7,605.68

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Solution

The fourth proportional to 9,848.84, 13,596.41 and 7,605.68 is: 10,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.84 : 13,596.41 = 7,605.68 : x
  2. Step 2: Convert to fraction form
    9,848.84/13,596.41 = 7,605.68/x
  3. Step 3: Cross multiply
    9,848.84x = 13,596.41 × 7,605.68
  4. Step 4: Simplify right side
    9,848.84x = 103,409,943.61
  5. Step 5: Solve for x
    x = 103,409,943.61/9,848.84
  6. Step 6: Final answer
    x = 10,499.71

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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.