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Finding the Fourth Proportional to 9,502.32, 13,112.04 and 5,310

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Solution

The fourth proportional to 9,502.32, 13,112.04 and 5,310 is: 7,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.32 : 13,112.04 = 5,310 : x
  2. Step 2: Convert to fraction form
    9,502.32/13,112.04 = 5,310/x
  3. Step 3: Cross multiply
    9,502.32x = 13,112.04 × 5,310
  4. Step 4: Simplify right side
    9,502.32x = 69,624,932.40
  5. Step 5: Solve for x
    x = 69,624,932.40/9,502.32
  6. Step 6: Final answer
    x = 7,327.15

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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.