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Finding the Fourth Proportional to 9,228.69, 13,848.03 and 4,297.14

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Solution

The fourth proportional to 9,228.69, 13,848.03 and 4,297.14 is: 6,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.69 : 13,848.03 = 4,297.14 : x
  2. Step 2: Convert to fraction form
    9,228.69/13,848.03 = 4,297.14/x
  3. Step 3: Cross multiply
    9,228.69x = 13,848.03 × 4,297.14
  4. Step 4: Simplify right side
    9,228.69x = 59,506,923.63
  5. Step 5: Solve for x
    x = 59,506,923.63/9,228.69
  6. Step 6: Final answer
    x = 6,448.04

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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.