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Finding the Fourth Proportional to 9,501.74, 14,254.44 and 3,952.10

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Solution

The fourth proportional to 9,501.74, 14,254.44 and 3,952.10 is: 5,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.74 : 14,254.44 = 3,952.10 : x
  2. Step 2: Convert to fraction form
    9,501.74/14,254.44 = 3,952.10/x
  3. Step 3: Cross multiply
    9,501.74x = 14,254.44 × 3,952.10
  4. Step 4: Simplify right side
    9,501.74x = 56,334,972.32
  5. Step 5: Solve for x
    x = 56,334,972.32/9,501.74
  6. Step 6: Final answer
    x = 5,928.91

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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.