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Finding the Fourth Proportional to 9,720.47, 14,580.93 and 3,480.91

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Solution

The fourth proportional to 9,720.47, 14,580.93 and 3,480.91 is: 5,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.47 : 14,580.93 = 3,480.91 : x
  2. Step 2: Convert to fraction form
    9,720.47/14,580.93 = 3,480.91/x
  3. Step 3: Cross multiply
    9,720.47x = 14,580.93 × 3,480.91
  4. Step 4: Simplify right side
    9,720.47x = 50,754,905.05
  5. Step 5: Solve for x
    x = 50,754,905.05/9,720.47
  6. Step 6: Final answer
    x = 5,221.45

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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.