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Finding the Fourth Proportional to 7,159.14, 9,877.20 and 4,644.48

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Solution

The fourth proportional to 7,159.14, 9,877.20 and 4,644.48 is: 6,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.14 : 9,877.20 = 4,644.48 : x
  2. Step 2: Convert to fraction form
    7,159.14/9,877.20 = 4,644.48/x
  3. Step 3: Cross multiply
    7,159.14x = 9,877.20 × 4,644.48
  4. Step 4: Simplify right side
    7,159.14x = 45,874,457.86
  5. Step 5: Solve for x
    x = 45,874,457.86/7,159.14
  6. Step 6: Final answer
    x = 6,407.82

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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.