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Finding the Fourth Proportional to 9,586.14, 14,373.54 and 6,466.02

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Solution

The fourth proportional to 9,586.14, 14,373.54 and 6,466.02 is: 9,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.14 : 14,373.54 = 6,466.02 : x
  2. Step 2: Convert to fraction form
    9,586.14/14,373.54 = 6,466.02/x
  3. Step 3: Cross multiply
    9,586.14x = 14,373.54 × 6,466.02
  4. Step 4: Simplify right side
    9,586.14x = 92,939,597.11
  5. Step 5: Solve for x
    x = 92,939,597.11/9,586.14
  6. Step 6: Final answer
    x = 9,695.21

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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.