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Finding the Fourth Proportional to 10,338.74, 15,488.54 and 6,109.35

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Solution

The fourth proportional to 10,338.74, 15,488.54 and 6,109.35 is: 9,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.74 : 15,488.54 = 6,109.35 : x
  2. Step 2: Convert to fraction form
    10,338.74/15,488.54 = 6,109.35/x
  3. Step 3: Cross multiply
    10,338.74x = 15,488.54 × 6,109.35
  4. Step 4: Simplify right side
    10,338.74x = 94,624,846.13
  5. Step 5: Solve for x
    x = 94,624,846.13/10,338.74
  6. Step 6: Final answer
    x = 9,152.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.