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Finding the Fourth Proportional to 9,699.72, 14,552.01 and 3,125.76

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Solution

The fourth proportional to 9,699.72, 14,552.01 and 3,125.76 is: 4,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.72 : 14,552.01 = 3,125.76 : x
  2. Step 2: Convert to fraction form
    9,699.72/14,552.01 = 3,125.76/x
  3. Step 3: Cross multiply
    9,699.72x = 14,552.01 × 3,125.76
  4. Step 4: Simplify right side
    9,699.72x = 45,486,090.78
  5. Step 5: Solve for x
    x = 45,486,090.78/9,699.72
  6. Step 6: Final answer
    x = 4,689.42

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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.