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Finding the Fourth Proportional to 7,157.12, 9,876.32 and 3,970.58

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Solution

The fourth proportional to 7,157.12, 9,876.32 and 3,970.58 is: 5,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.12 : 9,876.32 = 3,970.58 : x
  2. Step 2: Convert to fraction form
    7,157.12/9,876.32 = 3,970.58/x
  3. Step 3: Cross multiply
    7,157.12x = 9,876.32 × 3,970.58
  4. Step 4: Simplify right side
    7,157.12x = 39,214,718.67
  5. Step 5: Solve for x
    x = 39,214,718.67/7,157.12
  6. Step 6: Final answer
    x = 5,479.12

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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.