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Finding the Fourth Proportional to 6,069.60, 9,106.56 and 5,097.60

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Solution

The fourth proportional to 6,069.60, 9,106.56 and 5,097.60 is: 7,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.60 : 9,106.56 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    6,069.60/9,106.56 = 5,097.60/x
  3. Step 3: Cross multiply
    6,069.60x = 9,106.56 × 5,097.60
  4. Step 4: Simplify right side
    6,069.60x = 46,421,600.26
  5. Step 5: Solve for x
    x = 46,421,600.26/6,069.60
  6. Step 6: Final answer
    x = 7,648.21

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