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Finding the Fourth Proportional to 9,775.84, 13,490.68 and 5,299.58

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Solution

The fourth proportional to 9,775.84, 13,490.68 and 5,299.58 is: 7,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.84 : 13,490.68 = 5,299.58 : x
  2. Step 2: Convert to fraction form
    9,775.84/13,490.68 = 5,299.58/x
  3. Step 3: Cross multiply
    9,775.84x = 13,490.68 × 5,299.58
  4. Step 4: Simplify right side
    9,775.84x = 71,494,937.91
  5. Step 5: Solve for x
    x = 71,494,937.91/9,775.84
  6. Step 6: Final answer
    x = 7,313.43

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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.