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Finding the Fourth Proportional to 9,544.32, 14,307.84 and 3,386.88

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Solution

The fourth proportional to 9,544.32, 14,307.84 and 3,386.88 is: 5,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.32 : 14,307.84 = 3,386.88 : x
  2. Step 2: Convert to fraction form
    9,544.32/14,307.84 = 3,386.88/x
  3. Step 3: Cross multiply
    9,544.32x = 14,307.84 × 3,386.88
  4. Step 4: Simplify right side
    9,544.32x = 48,458,937.14
  5. Step 5: Solve for x
    x = 48,458,937.14/9,544.32
  6. Step 6: Final answer
    x = 5,077.25

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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.