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Finding the Fourth Proportional to 10,488.41, 14,473.59 and 6,009.06

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Solution

The fourth proportional to 10,488.41, 14,473.59 and 6,009.06 is: 8,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.41 : 14,473.59 = 6,009.06 : x
  2. Step 2: Convert to fraction form
    10,488.41/14,473.59 = 6,009.06/x
  3. Step 3: Cross multiply
    10,488.41x = 14,473.59 × 6,009.06
  4. Step 4: Simplify right side
    10,488.41x = 86,972,593.92
  5. Step 5: Solve for x
    x = 86,972,593.92/10,488.41
  6. Step 6: Final answer
    x = 8,292.26

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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.