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Finding the Fourth Proportional to 6,988.04, 9,643 and 4,155.26

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Solution

The fourth proportional to 6,988.04, 9,643 and 4,155.26 is: 5,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.04 : 9,643 = 4,155.26 : x
  2. Step 2: Convert to fraction form
    6,988.04/9,643 = 4,155.26/x
  3. Step 3: Cross multiply
    6,988.04x = 9,643 × 4,155.26
  4. Step 4: Simplify right side
    6,988.04x = 40,069,172.18
  5. Step 5: Solve for x
    x = 40,069,172.18/6,988.04
  6. Step 6: Final answer
    x = 5,733.96

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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.