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Finding the Fourth Proportional to 9,913.46, 13,680.62 and 5,437.60

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Solution

The fourth proportional to 9,913.46, 13,680.62 and 5,437.60 is: 7,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.46 : 13,680.62 = 5,437.60 : x
  2. Step 2: Convert to fraction form
    9,913.46/13,680.62 = 5,437.60/x
  3. Step 3: Cross multiply
    9,913.46x = 13,680.62 × 5,437.60
  4. Step 4: Simplify right side
    9,913.46x = 74,389,739.31
  5. Step 5: Solve for x
    x = 74,389,739.31/9,913.46
  6. Step 6: Final answer
    x = 7,503.91

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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.