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Finding the Fourth Proportional to 9,905.56, 13,669.59 and 5,429.59

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Solution

The fourth proportional to 9,905.56, 13,669.59 and 5,429.59 is: 7,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.56 : 13,669.59 = 5,429.59 : x
  2. Step 2: Convert to fraction form
    9,905.56/13,669.59 = 5,429.59/x
  3. Step 3: Cross multiply
    9,905.56x = 13,669.59 × 5,429.59
  4. Step 4: Simplify right side
    9,905.56x = 74,220,269.17
  5. Step 5: Solve for x
    x = 74,220,269.17/9,905.56
  6. Step 6: Final answer
    x = 7,492.79

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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.