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Finding the Fourth Proportional to 9,737.01, 13,437.07 and 5,260.76

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Solution

The fourth proportional to 9,737.01, 13,437.07 and 5,260.76 is: 7,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.01 : 13,437.07 = 5,260.76 : x
  2. Step 2: Convert to fraction form
    9,737.01/13,437.07 = 5,260.76/x
  3. Step 3: Cross multiply
    9,737.01x = 13,437.07 × 5,260.76
  4. Step 4: Simplify right side
    9,737.01x = 70,689,146.34
  5. Step 5: Solve for x
    x = 70,689,146.34/9,737.01
  6. Step 6: Final answer
    x = 7,259.84

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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.