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Finding the Fourth Proportional to 9,409.26, 12,985.23 and 5,430.90

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Solution

The fourth proportional to 9,409.26, 12,985.23 and 5,430.90 is: 7,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.26 : 12,985.23 = 5,430.90 : x
  2. Step 2: Convert to fraction form
    9,409.26/12,985.23 = 5,430.90/x
  3. Step 3: Cross multiply
    9,409.26x = 12,985.23 × 5,430.90
  4. Step 4: Simplify right side
    9,409.26x = 70,521,485.61
  5. Step 5: Solve for x
    x = 70,521,485.61/9,409.26
  6. Step 6: Final answer
    x = 7,494.90

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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.