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Finding the Fourth Proportional to 9,069.60, 13,603.60 and 2,495.20

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Solution

The fourth proportional to 9,069.60, 13,603.60 and 2,495.20 is: 3,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.60 : 13,603.60 = 2,495.20 : x
  2. Step 2: Convert to fraction form
    9,069.60/13,603.60 = 2,495.20/x
  3. Step 3: Cross multiply
    9,069.60x = 13,603.60 × 2,495.20
  4. Step 4: Simplify right side
    9,069.60x = 33,943,702.72
  5. Step 5: Solve for x
    x = 33,943,702.72/9,069.60
  6. Step 6: Final answer
    x = 3,742.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.