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Finding the Fourth Proportional to 9,135.48, 13,703.31 and 7,810.65

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Solution

The fourth proportional to 9,135.48, 13,703.31 and 7,810.65 is: 11,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.48 : 13,703.31 = 7,810.65 : x
  2. Step 2: Convert to fraction form
    9,135.48/13,703.31 = 7,810.65/x
  3. Step 3: Cross multiply
    9,135.48x = 13,703.31 × 7,810.65
  4. Step 4: Simplify right side
    9,135.48x = 107,031,758.25
  5. Step 5: Solve for x
    x = 107,031,758.25/9,135.48
  6. Step 6: Final answer
    x = 11,716.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.