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Finding the Fourth Proportional to 7,038.74, 9,713.62 and 3,852.34

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Solution

The fourth proportional to 7,038.74, 9,713.62 and 3,852.34 is: 5,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.74 : 9,713.62 = 3,852.34 : x
  2. Step 2: Convert to fraction form
    7,038.74/9,713.62 = 3,852.34/x
  3. Step 3: Cross multiply
    7,038.74x = 9,713.62 × 3,852.34
  4. Step 4: Simplify right side
    7,038.74x = 37,420,166.87
  5. Step 5: Solve for x
    x = 37,420,166.87/7,038.74
  6. Step 6: Final answer
    x = 5,316.32

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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.