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Finding the Fourth Proportional to 9,835.48, 13,590.22 and 7,862.32

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Solution

The fourth proportional to 9,835.48, 13,590.22 and 7,862.32 is: 10,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.48 : 13,590.22 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    9,835.48/13,590.22 = 7,862.32/x
  3. Step 3: Cross multiply
    9,835.48x = 13,590.22 × 7,862.32
  4. Step 4: Simplify right side
    9,835.48x = 106,850,658.51
  5. Step 5: Solve for x
    x = 106,850,658.51/9,835.48
  6. Step 6: Final answer
    x = 10,863.80

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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.