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Finding the Fourth Proportional to 7,129.88, 9,839.40 and 4,477.40

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Solution

The fourth proportional to 7,129.88, 9,839.40 and 4,477.40 is: 6,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.88 : 9,839.40 = 4,477.40 : x
  2. Step 2: Convert to fraction form
    7,129.88/9,839.40 = 4,477.40/x
  3. Step 3: Cross multiply
    7,129.88x = 9,839.40 × 4,477.40
  4. Step 4: Simplify right side
    7,129.88x = 44,054,929.56
  5. Step 5: Solve for x
    x = 44,054,929.56/7,129.88
  6. Step 6: Final answer
    x = 6,178.92

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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.