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Finding the Fourth Proportional to 7,130.91, 9,840.69 and 3,987.10

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Solution

The fourth proportional to 7,130.91, 9,840.69 and 3,987.10 is: 5,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.91 : 9,840.69 = 3,987.10 : x
  2. Step 2: Convert to fraction form
    7,130.91/9,840.69 = 3,987.10/x
  3. Step 3: Cross multiply
    7,130.91x = 9,840.69 × 3,987.10
  4. Step 4: Simplify right side
    7,130.91x = 39,235,815.10
  5. Step 5: Solve for x
    x = 39,235,815.10/7,130.91
  6. Step 6: Final answer
    x = 5,502.22

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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.