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Finding the Fourth Proportional to 9,378.64, 12,942.75 and 5,130.10

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Solution

The fourth proportional to 9,378.64, 12,942.75 and 5,130.10 is: 7,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.64 : 12,942.75 = 5,130.10 : x
  2. Step 2: Convert to fraction form
    9,378.64/12,942.75 = 5,130.10/x
  3. Step 3: Cross multiply
    9,378.64x = 12,942.75 × 5,130.10
  4. Step 4: Simplify right side
    9,378.64x = 66,397,601.78
  5. Step 5: Solve for x
    x = 66,397,601.78/9,378.64
  6. Step 6: Final answer
    x = 7,079.66

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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.