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Finding the Fourth Proportional to 9,559.70, 14,332.56 and 6,431.93

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Solution

The fourth proportional to 9,559.70, 14,332.56 and 6,431.93 is: 9,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.70 : 14,332.56 = 6,431.93 : x
  2. Step 2: Convert to fraction form
    9,559.70/14,332.56 = 6,431.93/x
  3. Step 3: Cross multiply
    9,559.70x = 14,332.56 × 6,431.93
  4. Step 4: Simplify right side
    9,559.70x = 92,186,022.64
  5. Step 5: Solve for x
    x = 92,186,022.64/9,559.70
  6. Step 6: Final answer
    x = 9,643.19

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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.