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Finding the Fourth Proportional to 9,473.64, 14,210.45 and 2,548.14

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Solution

The fourth proportional to 9,473.64, 14,210.45 and 2,548.14 is: 3,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.64 : 14,210.45 = 2,548.14 : x
  2. Step 2: Convert to fraction form
    9,473.64/14,210.45 = 2,548.14/x
  3. Step 3: Cross multiply
    9,473.64x = 14,210.45 × 2,548.14
  4. Step 4: Simplify right side
    9,473.64x = 36,210,216.06
  5. Step 5: Solve for x
    x = 36,210,216.06/9,473.64
  6. Step 6: Final answer
    x = 3,822.21

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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.