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Finding the Fourth Proportional to 9,693.32, 13,376.09 and 5,444.16

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Solution

The fourth proportional to 9,693.32, 13,376.09 and 5,444.16 is: 7,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.32 : 13,376.09 = 5,444.16 : x
  2. Step 2: Convert to fraction form
    9,693.32/13,376.09 = 5,444.16/x
  3. Step 3: Cross multiply
    9,693.32x = 13,376.09 × 5,444.16
  4. Step 4: Simplify right side
    9,693.32x = 72,821,582.20
  5. Step 5: Solve for x
    x = 72,821,582.20/9,693.32
  6. Step 6: Final answer
    x = 7,512.55

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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.