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Finding the Fourth Proportional to 7,159.86, 9,881.46 and 4,644.72

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Solution

The fourth proportional to 7,159.86, 9,881.46 and 4,644.72 is: 6,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.86 : 9,881.46 = 4,644.72 : x
  2. Step 2: Convert to fraction form
    7,159.86/9,881.46 = 4,644.72/x
  3. Step 3: Cross multiply
    7,159.86x = 9,881.46 × 4,644.72
  4. Step 4: Simplify right side
    7,159.86x = 45,896,614.89
  5. Step 5: Solve for x
    x = 45,896,614.89/7,159.86
  6. Step 6: Final answer
    x = 6,410.27

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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.