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Finding the Fourth Proportional to 9,544.53, 14,307.23 and 4,538.13

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Solution

The fourth proportional to 9,544.53, 14,307.23 and 4,538.13 is: 6,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.53 : 14,307.23 = 4,538.13 : x
  2. Step 2: Convert to fraction form
    9,544.53/14,307.23 = 4,538.13/x
  3. Step 3: Cross multiply
    9,544.53x = 14,307.23 × 4,538.13
  4. Step 4: Simplify right side
    9,544.53x = 64,928,027.37
  5. Step 5: Solve for x
    x = 64,928,027.37/9,544.53
  6. Step 6: Final answer
    x = 6,802.64

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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.