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Finding the Fourth Proportional to 9,929.95, 13,703.65 and 5,738.20

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Solution

The fourth proportional to 9,929.95, 13,703.65 and 5,738.20 is: 7,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.95 : 13,703.65 = 5,738.20 : x
  2. Step 2: Convert to fraction form
    9,929.95/13,703.65 = 5,738.20/x
  3. Step 3: Cross multiply
    9,929.95x = 13,703.65 × 5,738.20
  4. Step 4: Simplify right side
    9,929.95x = 78,634,235.83
  5. Step 5: Solve for x
    x = 78,634,235.83/9,929.95
  6. Step 6: Final answer
    x = 7,918.90

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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.