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Finding the Fourth Proportional to 9,657.49, 14,483.44 and 4,389.57

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Solution

The fourth proportional to 9,657.49, 14,483.44 and 4,389.57 is: 6,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.49 : 14,483.44 = 4,389.57 : x
  2. Step 2: Convert to fraction form
    9,657.49/14,483.44 = 4,389.57/x
  3. Step 3: Cross multiply
    9,657.49x = 14,483.44 × 4,389.57
  4. Step 4: Simplify right side
    9,657.49x = 63,576,001.30
  5. Step 5: Solve for x
    x = 63,576,001.30/9,657.49
  6. Step 6: Final answer
    x = 6,583.08

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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.