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Finding the Fourth Proportional to 9,929.61, 13,695.35 and 6,944.49

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Solution

The fourth proportional to 9,929.61, 13,695.35 and 6,944.49 is: 9,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.61 : 13,695.35 = 6,944.49 : x
  2. Step 2: Convert to fraction form
    9,929.61/13,695.35 = 6,944.49/x
  3. Step 3: Cross multiply
    9,929.61x = 13,695.35 × 6,944.49
  4. Step 4: Simplify right side
    9,929.61x = 95,107,186.40
  5. Step 5: Solve for x
    x = 95,107,186.40/9,929.61
  6. Step 6: Final answer
    x = 9,578.14

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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.