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Finding the Fourth Proportional to 9,222.48, 12,711.85 and 6,534.60

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Solution

The fourth proportional to 9,222.48, 12,711.85 and 6,534.60 is: 9,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.48 : 12,711.85 = 6,534.60 : x
  2. Step 2: Convert to fraction form
    9,222.48/12,711.85 = 6,534.60/x
  3. Step 3: Cross multiply
    9,222.48x = 12,711.85 × 6,534.60
  4. Step 4: Simplify right side
    9,222.48x = 83,066,838.67
  5. Step 5: Solve for x
    x = 83,066,838.67/9,222.48
  6. Step 6: Final answer
    x = 9,007.00

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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.