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Finding the Fourth Proportional to 6,506.48, 9,752.73 and 2,810.45

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Solution

The fourth proportional to 6,506.48, 9,752.73 and 2,810.45 is: 4,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.48 : 9,752.73 = 2,810.45 : x
  2. Step 2: Convert to fraction form
    6,506.48/9,752.73 = 2,810.45/x
  3. Step 3: Cross multiply
    6,506.48x = 9,752.73 × 2,810.45
  4. Step 4: Simplify right side
    6,506.48x = 27,409,511.26
  5. Step 5: Solve for x
    x = 27,409,511.26/6,506.48
  6. Step 6: Final answer
    x = 4,212.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.