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Finding the Fourth Proportional to 6,698.34, 9,237.29 and 4,009.10

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Solution

The fourth proportional to 6,698.34, 9,237.29 and 4,009.10 is: 5,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.34 : 9,237.29 = 4,009.10 : x
  2. Step 2: Convert to fraction form
    6,698.34/9,237.29 = 4,009.10/x
  3. Step 3: Cross multiply
    6,698.34x = 9,237.29 × 4,009.10
  4. Step 4: Simplify right side
    6,698.34x = 37,033,153.11
  5. Step 5: Solve for x
    x = 37,033,153.11/6,698.34
  6. Step 6: Final answer
    x = 5,528.71

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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.