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Finding the Fourth Proportional to 37,534.16, 56,297.04 and 9,454.20

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Solution

The fourth proportional to 37,534.16, 56,297.04 and 9,454.20 is: 14,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534.16 : 56,297.04 = 9,454.20 : x
  2. Step 2: Convert to fraction form
    37,534.16/56,297.04 = 9,454.20/x
  3. Step 3: Cross multiply
    37,534.16x = 56,297.04 × 9,454.20
  4. Step 4: Simplify right side
    37,534.16x = 532,243,475.57
  5. Step 5: Solve for x
    x = 532,243,475.57/37,534.16
  6. Step 6: Final answer
    x = 14,180.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.