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Finding the Fourth Proportional to 7,225.60, 9,969.97 and 4,571.14

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Solution

The fourth proportional to 7,225.60, 9,969.97 and 4,571.14 is: 6,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.60 : 9,969.97 = 4,571.14 : x
  2. Step 2: Convert to fraction form
    7,225.60/9,969.97 = 4,571.14/x
  3. Step 3: Cross multiply
    7,225.60x = 9,969.97 × 4,571.14
  4. Step 4: Simplify right side
    7,225.60x = 45,574,055.96
  5. Step 5: Solve for x
    x = 45,574,055.96/7,225.60
  6. Step 6: Final answer
    x = 6,307.31

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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.