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Finding the Fourth Proportional to 9,280.32, 13,904.23 and 7,730.25

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Solution

The fourth proportional to 9,280.32, 13,904.23 and 7,730.25 is: 11,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.32 : 13,904.23 = 7,730.25 : x
  2. Step 2: Convert to fraction form
    9,280.32/13,904.23 = 7,730.25/x
  3. Step 3: Cross multiply
    9,280.32x = 13,904.23 × 7,730.25
  4. Step 4: Simplify right side
    9,280.32x = 107,483,173.96
  5. Step 5: Solve for x
    x = 107,483,173.96/9,280.32
  6. Step 6: Final answer
    x = 11,581.84

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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.