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Finding the Fourth Proportional to 9,506.34, 14,259.53 and 5,608

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Solution

The fourth proportional to 9,506.34, 14,259.53 and 5,608 is: 8,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.34 : 14,259.53 = 5,608 : x
  2. Step 2: Convert to fraction form
    9,506.34/14,259.53 = 5,608/x
  3. Step 3: Cross multiply
    9,506.34x = 14,259.53 × 5,608
  4. Step 4: Simplify right side
    9,506.34x = 79,967,444.24
  5. Step 5: Solve for x
    x = 79,967,444.24/9,506.34
  6. Step 6: Final answer
    x = 8,412.01

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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.