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Finding the Fourth Proportional to 9,915.74, 13,683.46 and 5,378.16

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Solution

The fourth proportional to 9,915.74, 13,683.46 and 5,378.16 is: 7,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.74 : 13,683.46 = 5,378.16 : x
  2. Step 2: Convert to fraction form
    9,915.74/13,683.46 = 5,378.16/x
  3. Step 3: Cross multiply
    9,915.74x = 13,683.46 × 5,378.16
  4. Step 4: Simplify right side
    9,915.74x = 73,591,837.23
  5. Step 5: Solve for x
    x = 73,591,837.23/9,915.74
  6. Step 6: Final answer
    x = 7,421.72

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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.