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Finding the Fourth Proportional to 7,039.24, 9,713.82 and 4,055.16

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Solution

The fourth proportional to 7,039.24, 9,713.82 and 4,055.16 is: 5,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.24 : 9,713.82 = 4,055.16 : x
  2. Step 2: Convert to fraction form
    7,039.24/9,713.82 = 4,055.16/x
  3. Step 3: Cross multiply
    7,039.24x = 9,713.82 × 4,055.16
  4. Step 4: Simplify right side
    7,039.24x = 39,391,094.31
  5. Step 5: Solve for x
    x = 39,391,094.31/7,039.24
  6. Step 6: Final answer
    x = 5,595.93

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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.