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Finding the Fourth Proportional to 9,307.32, 13,956.06 and 5,357.76

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Solution

The fourth proportional to 9,307.32, 13,956.06 and 5,357.76 is: 8,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.32 : 13,956.06 = 5,357.76 : x
  2. Step 2: Convert to fraction form
    9,307.32/13,956.06 = 5,357.76/x
  3. Step 3: Cross multiply
    9,307.32x = 13,956.06 × 5,357.76
  4. Step 4: Simplify right side
    9,307.32x = 74,773,220.03
  5. Step 5: Solve for x
    x = 74,773,220.03/9,307.32
  6. Step 6: Final answer
    x = 8,033.81

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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.