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Finding the Fourth Proportional to 9,409.37, 12,985.11 and 5,430.69

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Solution

The fourth proportional to 9,409.37, 12,985.11 and 5,430.69 is: 7,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.37 : 12,985.11 = 5,430.69 : x
  2. Step 2: Convert to fraction form
    9,409.37/12,985.11 = 5,430.69/x
  3. Step 3: Cross multiply
    9,409.37x = 12,985.11 × 5,430.69
  4. Step 4: Simplify right side
    9,409.37x = 70,518,107.03
  5. Step 5: Solve for x
    x = 70,518,107.03/9,409.37
  6. Step 6: Final answer
    x = 7,494.46

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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.