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Finding the Fourth Proportional to 7,213.04, 9,953.40 and 4,070

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Solution

The fourth proportional to 7,213.04, 9,953.40 and 4,070 is: 5,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.04 : 9,953.40 = 4,070 : x
  2. Step 2: Convert to fraction form
    7,213.04/9,953.40 = 4,070/x
  3. Step 3: Cross multiply
    7,213.04x = 9,953.40 × 4,070
  4. Step 4: Simplify right side
    7,213.04x = 40,510,338
  5. Step 5: Solve for x
    x = 40,510,338/7,213.04
  6. Step 6: Final answer
    x = 5,616.26

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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.