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Finding the Fourth Proportional to 9,769.01, 14,653.31 and 2,373.50

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Solution

The fourth proportional to 9,769.01, 14,653.31 and 2,373.50 is: 3,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.01 : 14,653.31 = 2,373.50 : x
  2. Step 2: Convert to fraction form
    9,769.01/14,653.31 = 2,373.50/x
  3. Step 3: Cross multiply
    9,769.01x = 14,653.31 × 2,373.50
  4. Step 4: Simplify right side
    9,769.01x = 34,779,656.05
  5. Step 5: Solve for x
    x = 34,779,656.05/9,769.01
  6. Step 6: Final answer
    x = 3,560.20

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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.