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Finding the Fourth Proportional to 6,403.80, 9,590.93 and 6,182.16

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Solution

The fourth proportional to 6,403.80, 9,590.93 and 6,182.16 is: 9,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.80 : 9,590.93 = 6,182.16 : x
  2. Step 2: Convert to fraction form
    6,403.80/9,590.93 = 6,182.16/x
  3. Step 3: Cross multiply
    6,403.80x = 9,590.93 × 6,182.16
  4. Step 4: Simplify right side
    6,403.80x = 59,292,632.90
  5. Step 5: Solve for x
    x = 59,292,632.90/6,403.80
  6. Step 6: Final answer
    x = 9,258.98

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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.