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Finding the Fourth Proportional to 10,078.94, 13,915.72 and 9,013.40

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Solution

The fourth proportional to 10,078.94, 13,915.72 and 9,013.40 is: 12,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.94 : 13,915.72 = 9,013.40 : x
  2. Step 2: Convert to fraction form
    10,078.94/13,915.72 = 9,013.40/x
  3. Step 3: Cross multiply
    10,078.94x = 13,915.72 × 9,013.40
  4. Step 4: Simplify right side
    10,078.94x = 125,427,858.54
  5. Step 5: Solve for x
    x = 125,427,858.54/10,078.94
  6. Step 6: Final answer
    x = 12,444.55

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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.