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Finding the Fourth Proportional to 9,113.20, 13,735.46 and 9,113.20

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Solution

The fourth proportional to 9,113.20, 13,735.46 and 9,113.20 is: 13,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.20 : 13,735.46 = 9,113.20 : x
  2. Step 2: Convert to fraction form
    9,113.20/13,735.46 = 9,113.20/x
  3. Step 3: Cross multiply
    9,113.20x = 13,735.46 × 9,113.20
  4. Step 4: Simplify right side
    9,113.20x = 125,173,994.07
  5. Step 5: Solve for x
    x = 125,173,994.07/9,113.20
  6. Step 6: Final answer
    x = 13,735.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.