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Finding the Fourth Proportional to 9,735.56, 14,603.48 and 2,810.08

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Solution

The fourth proportional to 9,735.56, 14,603.48 and 2,810.08 is: 4,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.56 : 14,603.48 = 2,810.08 : x
  2. Step 2: Convert to fraction form
    9,735.56/14,603.48 = 2,810.08/x
  3. Step 3: Cross multiply
    9,735.56x = 14,603.48 × 2,810.08
  4. Step 4: Simplify right side
    9,735.56x = 41,036,947.08
  5. Step 5: Solve for x
    x = 41,036,947.08/9,735.56
  6. Step 6: Final answer
    x = 4,215.16

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Why These Related Problems?

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