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Finding the Fourth Proportional to 7,222.48, 9,948.36 and 6,738.64

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Solution

The fourth proportional to 7,222.48, 9,948.36 and 6,738.64 is: 9,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.48 : 9,948.36 = 6,738.64 : x
  2. Step 2: Convert to fraction form
    7,222.48/9,948.36 = 6,738.64/x
  3. Step 3: Cross multiply
    7,222.48x = 9,948.36 × 6,738.64
  4. Step 4: Simplify right side
    7,222.48x = 67,038,416.63
  5. Step 5: Solve for x
    x = 67,038,416.63/7,222.48
  6. Step 6: Final answer
    x = 9,281.91

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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.