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Finding the Fourth Proportional to 7,031.37, 9,703.35 and 3,887.76

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Solution

The fourth proportional to 7,031.37, 9,703.35 and 3,887.76 is: 5,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.37 : 9,703.35 = 3,887.76 : x
  2. Step 2: Convert to fraction form
    7,031.37/9,703.35 = 3,887.76/x
  3. Step 3: Cross multiply
    7,031.37x = 9,703.35 × 3,887.76
  4. Step 4: Simplify right side
    7,031.37x = 37,724,296.00
  5. Step 5: Solve for x
    x = 37,724,296.00/7,031.37
  6. Step 6: Final answer
    x = 5,365.14

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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.