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Finding the Fourth Proportional to 9,053.84, 13,580.82 and 3,507.80

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Solution

The fourth proportional to 9,053.84, 13,580.82 and 3,507.80 is: 5,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.84 : 13,580.82 = 3,507.80 : x
  2. Step 2: Convert to fraction form
    9,053.84/13,580.82 = 3,507.80/x
  3. Step 3: Cross multiply
    9,053.84x = 13,580.82 × 3,507.80
  4. Step 4: Simplify right side
    9,053.84x = 47,638,800.40
  5. Step 5: Solve for x
    x = 47,638,800.40/9,053.84
  6. Step 6: Final answer
    x = 5,261.72

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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.