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Finding the Fourth Proportional to 9,695.74, 14,534.37 and 3,117.30

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Solution

The fourth proportional to 9,695.74, 14,534.37 and 3,117.30 is: 4,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.74 : 14,534.37 = 3,117.30 : x
  2. Step 2: Convert to fraction form
    9,695.74/14,534.37 = 3,117.30/x
  3. Step 3: Cross multiply
    9,695.74x = 14,534.37 × 3,117.30
  4. Step 4: Simplify right side
    9,695.74x = 45,307,976.01
  5. Step 5: Solve for x
    x = 45,307,976.01/9,695.74
  6. Step 6: Final answer
    x = 4,672.98

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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.