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Finding the Fourth Proportional to 9,483.40, 14,214.10 and 4,488.96

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Solution

The fourth proportional to 9,483.40, 14,214.10 and 4,488.96 is: 6,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.40 : 14,214.10 = 4,488.96 : x
  2. Step 2: Convert to fraction form
    9,483.40/14,214.10 = 4,488.96/x
  3. Step 3: Cross multiply
    9,483.40x = 14,214.10 × 4,488.96
  4. Step 4: Simplify right side
    9,483.40x = 63,806,526.34
  5. Step 5: Solve for x
    x = 63,806,526.34/9,483.40
  6. Step 6: Final answer
    x = 6,728.23

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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.