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Finding the Fourth Proportional to 9,607.14, 13,256.57 and 5,357.16

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Solution

The fourth proportional to 9,607.14, 13,256.57 and 5,357.16 is: 7,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.14 : 13,256.57 = 5,357.16 : x
  2. Step 2: Convert to fraction form
    9,607.14/13,256.57 = 5,357.16/x
  3. Step 3: Cross multiply
    9,607.14x = 13,256.57 × 5,357.16
  4. Step 4: Simplify right side
    9,607.14x = 71,017,579.93
  5. Step 5: Solve for x
    x = 71,017,579.93/9,607.14
  6. Step 6: Final answer
    x = 7,392.17

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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.