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Finding the Fourth Proportional to 7,112.70, 9,813.48 and 4,596.29

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Solution

The fourth proportional to 7,112.70, 9,813.48 and 4,596.29 is: 6,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.70 : 9,813.48 = 4,596.29 : x
  2. Step 2: Convert to fraction form
    7,112.70/9,813.48 = 4,596.29/x
  3. Step 3: Cross multiply
    7,112.70x = 9,813.48 × 4,596.29
  4. Step 4: Simplify right side
    7,112.70x = 45,105,576.51
  5. Step 5: Solve for x
    x = 45,105,576.51/7,112.70
  6. Step 6: Final answer
    x = 6,341.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.