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Finding the Fourth Proportional to 9,737.58, 13,437.86 and 5,261.34

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Solution

The fourth proportional to 9,737.58, 13,437.86 and 5,261.34 is: 7,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.58 : 13,437.86 = 5,261.34 : x
  2. Step 2: Convert to fraction form
    9,737.58/13,437.86 = 5,261.34/x
  3. Step 3: Cross multiply
    9,737.58x = 13,437.86 × 5,261.34
  4. Step 4: Simplify right side
    9,737.58x = 70,701,150.33
  5. Step 5: Solve for x
    x = 70,701,150.33/9,737.58
  6. Step 6: Final answer
    x = 7,260.65

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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.