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Finding the Fourth Proportional to 7,048.34, 9,726.72 and 3,904.46

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Solution

The fourth proportional to 7,048.34, 9,726.72 and 3,904.46 is: 5,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.34 : 9,726.72 = 3,904.46 : x
  2. Step 2: Convert to fraction form
    7,048.34/9,726.72 = 3,904.46/x
  3. Step 3: Cross multiply
    7,048.34x = 9,726.72 × 3,904.46
  4. Step 4: Simplify right side
    7,048.34x = 37,977,589.17
  5. Step 5: Solve for x
    x = 37,977,589.17/7,048.34
  6. Step 6: Final answer
    x = 5,388.16

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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.