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Finding the Fourth Proportional to 7,031.34, 9,703.05 and 4,048.81

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Solution

The fourth proportional to 7,031.34, 9,703.05 and 4,048.81 is: 5,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.34 : 9,703.05 = 4,048.81 : x
  2. Step 2: Convert to fraction form
    7,031.34/9,703.05 = 4,048.81/x
  3. Step 3: Cross multiply
    7,031.34x = 9,703.05 × 4,048.81
  4. Step 4: Simplify right side
    7,031.34x = 39,285,805.87
  5. Step 5: Solve for x
    x = 39,285,805.87/7,031.34
  6. Step 6: Final answer
    x = 5,587.24

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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.