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Finding the Fourth Proportional to 6,472.64, 8,931.12 and 3,678.72

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Solution

The fourth proportional to 6,472.64, 8,931.12 and 3,678.72 is: 5,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.64 : 8,931.12 = 3,678.72 : x
  2. Step 2: Convert to fraction form
    6,472.64/8,931.12 = 3,678.72/x
  3. Step 3: Cross multiply
    6,472.64x = 8,931.12 × 3,678.72
  4. Step 4: Simplify right side
    6,472.64x = 32,855,089.77
  5. Step 5: Solve for x
    x = 32,855,089.77/6,472.64
  6. Step 6: Final answer
    x = 5,076.00

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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.