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Finding the Fourth Proportional to 9,743.65, 13,445.82 and 5,495.58

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Solution

The fourth proportional to 9,743.65, 13,445.82 and 5,495.58 is: 7,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.65 : 13,445.82 = 5,495.58 : x
  2. Step 2: Convert to fraction form
    9,743.65/13,445.82 = 5,495.58/x
  3. Step 3: Cross multiply
    9,743.65x = 13,445.82 × 5,495.58
  4. Step 4: Simplify right side
    9,743.65x = 73,892,579.48
  5. Step 5: Solve for x
    x = 73,892,579.48/9,743.65
  6. Step 6: Final answer
    x = 7,583.67

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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.