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Finding the Fourth Proportional to 10,398.24, 15,604.65 and 6,009.66

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Solution

The fourth proportional to 10,398.24, 15,604.65 and 6,009.66 is: 9,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.24 : 15,604.65 = 6,009.66 : x
  2. Step 2: Convert to fraction form
    10,398.24/15,604.65 = 6,009.66/x
  3. Step 3: Cross multiply
    10,398.24x = 15,604.65 × 6,009.66
  4. Step 4: Simplify right side
    10,398.24x = 93,778,640.92
  5. Step 5: Solve for x
    x = 93,778,640.92/10,398.24
  6. Step 6: Final answer
    x = 9,018.70

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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.