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Finding the Fourth Proportional to 9,145.48, 13,713.55 and 4,210.84

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Solution

The fourth proportional to 9,145.48, 13,713.55 and 4,210.84 is: 6,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.48 : 13,713.55 = 4,210.84 : x
  2. Step 2: Convert to fraction form
    9,145.48/13,713.55 = 4,210.84/x
  3. Step 3: Cross multiply
    9,145.48x = 13,713.55 × 4,210.84
  4. Step 4: Simplify right side
    9,145.48x = 57,745,564.88
  5. Step 5: Solve for x
    x = 57,745,564.88/9,145.48
  6. Step 6: Final answer
    x = 6,314.11

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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.