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Finding the Fourth Proportional to 9,502.83, 13,113.57 and 5,253.63

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Solution

The fourth proportional to 9,502.83, 13,113.57 and 5,253.63 is: 7,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.83 : 13,113.57 = 5,253.63 : x
  2. Step 2: Convert to fraction form
    9,502.83/13,113.57 = 5,253.63/x
  3. Step 3: Cross multiply
    9,502.83x = 13,113.57 × 5,253.63
  4. Step 4: Simplify right side
    9,502.83x = 68,893,844.76
  5. Step 5: Solve for x
    x = 68,893,844.76/9,502.83
  6. Step 6: Final answer
    x = 7,249.82

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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.