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Finding the Fourth Proportional to 6,901.06, 9,527.79 and 4,547.20

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Solution

The fourth proportional to 6,901.06, 9,527.79 and 4,547.20 is: 6,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.06 : 9,527.79 = 4,547.20 : x
  2. Step 2: Convert to fraction form
    6,901.06/9,527.79 = 4,547.20/x
  3. Step 3: Cross multiply
    6,901.06x = 9,527.79 × 4,547.20
  4. Step 4: Simplify right side
    6,901.06x = 43,324,766.69
  5. Step 5: Solve for x
    x = 43,324,766.69/6,901.06
  6. Step 6: Final answer
    x = 6,277.99

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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.