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Finding the Fourth Proportional to 7,129.13, 9,838.19 and 4,334.63

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Solution

The fourth proportional to 7,129.13, 9,838.19 and 4,334.63 is: 5,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.13 : 9,838.19 = 4,334.63 : x
  2. Step 2: Convert to fraction form
    7,129.13/9,838.19 = 4,334.63/x
  3. Step 3: Cross multiply
    7,129.13x = 9,838.19 × 4,334.63
  4. Step 4: Simplify right side
    7,129.13x = 42,644,875.17
  5. Step 5: Solve for x
    x = 42,644,875.17/7,129.13
  6. Step 6: Final answer
    x = 5,981.78

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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.