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Finding the Fourth Proportional to 8,970.24, 13,460.32 and 3,776

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Solution

The fourth proportional to 8,970.24, 13,460.32 and 3,776 is: 5,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.24 : 13,460.32 = 3,776 : x
  2. Step 2: Convert to fraction form
    8,970.24/13,460.32 = 3,776/x
  3. Step 3: Cross multiply
    8,970.24x = 13,460.32 × 3,776
  4. Step 4: Simplify right side
    8,970.24x = 50,826,168.32
  5. Step 5: Solve for x
    x = 50,826,168.32/8,970.24
  6. Step 6: Final answer
    x = 5,666.09

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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.