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Finding the Fourth Proportional to 9,695.36, 14,533.80 and 3,116.93

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Solution

The fourth proportional to 9,695.36, 14,533.80 and 3,116.93 is: 4,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.36 : 14,533.80 = 3,116.93 : x
  2. Step 2: Convert to fraction form
    9,695.36/14,533.80 = 3,116.93/x
  3. Step 3: Cross multiply
    9,695.36x = 14,533.80 × 3,116.93
  4. Step 4: Simplify right side
    9,695.36x = 45,300,837.23
  5. Step 5: Solve for x
    x = 45,300,837.23/9,695.36
  6. Step 6: Final answer
    x = 4,672.42

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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.