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Finding the Fourth Proportional to 8,970.76, 13,457.82 and 3,127.24

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Solution

The fourth proportional to 8,970.76, 13,457.82 and 3,127.24 is: 4,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.76 : 13,457.82 = 3,127.24 : x
  2. Step 2: Convert to fraction form
    8,970.76/13,457.82 = 3,127.24/x
  3. Step 3: Cross multiply
    8,970.76x = 13,457.82 × 3,127.24
  4. Step 4: Simplify right side
    8,970.76x = 42,085,833.02
  5. Step 5: Solve for x
    x = 42,085,833.02/8,970.76
  6. Step 6: Final answer
    x = 4,691.45

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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.