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Finding the Fourth Proportional to 9,429.80, 14,141.42 and 4,748

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Solution

The fourth proportional to 9,429.80, 14,141.42 and 4,748 is: 7,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.80 : 14,141.42 = 4,748 : x
  2. Step 2: Convert to fraction form
    9,429.80/14,141.42 = 4,748/x
  3. Step 3: Cross multiply
    9,429.80x = 14,141.42 × 4,748
  4. Step 4: Simplify right side
    9,429.80x = 67,143,462.16
  5. Step 5: Solve for x
    x = 67,143,462.16/9,429.80
  6. Step 6: Final answer
    x = 7,120.35

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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.