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Finding the Fourth Proportional to 10,009.62, 13,818.90 and 6,657

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Solution

The fourth proportional to 10,009.62, 13,818.90 and 6,657 is: 9,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.62 : 13,818.90 = 6,657 : x
  2. Step 2: Convert to fraction form
    10,009.62/13,818.90 = 6,657/x
  3. Step 3: Cross multiply
    10,009.62x = 13,818.90 × 6,657
  4. Step 4: Simplify right side
    10,009.62x = 91,992,417.30
  5. Step 5: Solve for x
    x = 91,992,417.30/10,009.62
  6. Step 6: Final answer
    x = 9,190.40

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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.