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Finding the Fourth Proportional to 9,549.68, 14,323.08 and 4,283.60

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Solution

The fourth proportional to 9,549.68, 14,323.08 and 4,283.60 is: 6,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.68 : 14,323.08 = 4,283.60 : x
  2. Step 2: Convert to fraction form
    9,549.68/14,323.08 = 4,283.60/x
  3. Step 3: Cross multiply
    9,549.68x = 14,323.08 × 4,283.60
  4. Step 4: Simplify right side
    9,549.68x = 61,354,345.49
  5. Step 5: Solve for x
    x = 61,354,345.49/9,549.68
  6. Step 6: Final answer
    x = 6,424.75

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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.