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Finding the Fourth Proportional to 9,575.70, 14,364.02 and 3,001.94

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Solution

The fourth proportional to 9,575.70, 14,364.02 and 3,001.94 is: 4,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.70 : 14,364.02 = 3,001.94 : x
  2. Step 2: Convert to fraction form
    9,575.70/14,364.02 = 3,001.94/x
  3. Step 3: Cross multiply
    9,575.70x = 14,364.02 × 3,001.94
  4. Step 4: Simplify right side
    9,575.70x = 43,119,947.10
  5. Step 5: Solve for x
    x = 43,119,947.10/9,575.70
  6. Step 6: Final answer
    x = 4,503.06

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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.