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Finding the Fourth Proportional to 7,134.68, 9,848.04 and 5,009.24

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Solution

The fourth proportional to 7,134.68, 9,848.04 and 5,009.24 is: 6,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.68 : 9,848.04 = 5,009.24 : x
  2. Step 2: Convert to fraction form
    7,134.68/9,848.04 = 5,009.24/x
  3. Step 3: Cross multiply
    7,134.68x = 9,848.04 × 5,009.24
  4. Step 4: Simplify right side
    7,134.68x = 49,331,195.89
  5. Step 5: Solve for x
    x = 49,331,195.89/7,134.68
  6. Step 6: Final answer
    x = 6,914.28

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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.