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Finding the Fourth Proportional to 6,501.44, 8,970.72 and 5,257.28

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Solution

The fourth proportional to 6,501.44, 8,970.72 and 5,257.28 is: 7,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.44 : 8,970.72 = 5,257.28 : x
  2. Step 2: Convert to fraction form
    6,501.44/8,970.72 = 5,257.28/x
  3. Step 3: Cross multiply
    6,501.44x = 8,970.72 × 5,257.28
  4. Step 4: Simplify right side
    6,501.44x = 47,161,586.84
  5. Step 5: Solve for x
    x = 47,161,586.84/6,501.44
  6. Step 6: Final answer
    x = 7,254.02

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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.