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Finding the Fourth Proportional to 6,506.04, 9,752.07 and 2,810.01

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Solution

The fourth proportional to 6,506.04, 9,752.07 and 2,810.01 is: 4,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.04 : 9,752.07 = 2,810.01 : x
  2. Step 2: Convert to fraction form
    6,506.04/9,752.07 = 2,810.01/x
  3. Step 3: Cross multiply
    6,506.04x = 9,752.07 × 2,810.01
  4. Step 4: Simplify right side
    6,506.04x = 27,403,414.22
  5. Step 5: Solve for x
    x = 27,403,414.22/6,506.04
  6. Step 6: Final answer
    x = 4,212.00

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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.