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Finding the Fourth Proportional to 7,139.68, 9,852.24 and 4,346.08

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Solution

The fourth proportional to 7,139.68, 9,852.24 and 4,346.08 is: 5,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.68 : 9,852.24 = 4,346.08 : x
  2. Step 2: Convert to fraction form
    7,139.68/9,852.24 = 4,346.08/x
  3. Step 3: Cross multiply
    7,139.68x = 9,852.24 × 4,346.08
  4. Step 4: Simplify right side
    7,139.68x = 42,818,623.22
  5. Step 5: Solve for x
    x = 42,818,623.22/7,139.68
  6. Step 6: Final answer
    x = 5,997.27

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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.