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Finding the Fourth Proportional to 6,547.37, 9,770.76 and 5,846.72

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Solution

The fourth proportional to 6,547.37, 9,770.76 and 5,846.72 is: 8,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.37 : 9,770.76 = 5,846.72 : x
  2. Step 2: Convert to fraction form
    6,547.37/9,770.76 = 5,846.72/x
  3. Step 3: Cross multiply
    6,547.37x = 9,770.76 × 5,846.72
  4. Step 4: Simplify right side
    6,547.37x = 57,126,849.05
  5. Step 5: Solve for x
    x = 57,126,849.05/6,547.37
  6. Step 6: Final answer
    x = 8,725.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.