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Finding the Fourth Proportional to 9,097.60, 13,644.60 and 4,417.60

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Solution

The fourth proportional to 9,097.60, 13,644.60 and 4,417.60 is: 6,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.60 : 13,644.60 = 4,417.60 : x
  2. Step 2: Convert to fraction form
    9,097.60/13,644.60 = 4,417.60/x
  3. Step 3: Cross multiply
    9,097.60x = 13,644.60 × 4,417.60
  4. Step 4: Simplify right side
    9,097.60x = 60,276,384.96
  5. Step 5: Solve for x
    x = 60,276,384.96/9,097.60
  6. Step 6: Final answer
    x = 6,625.53

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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.