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Finding the Fourth Proportional to 9,737.82, 13,435.47 and 6,555.60

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Solution

The fourth proportional to 9,737.82, 13,435.47 and 6,555.60 is: 9,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.82 : 13,435.47 = 6,555.60 : x
  2. Step 2: Convert to fraction form
    9,737.82/13,435.47 = 6,555.60/x
  3. Step 3: Cross multiply
    9,737.82x = 13,435.47 × 6,555.60
  4. Step 4: Simplify right side
    9,737.82x = 88,077,567.13
  5. Step 5: Solve for x
    x = 88,077,567.13/9,737.82
  6. Step 6: Final answer
    x = 9,044.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.