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Finding the Fourth Proportional to 9,823.66, 14,712.70 and 5,653.34

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Solution

The fourth proportional to 9,823.66, 14,712.70 and 5,653.34 is: 8,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.66 : 14,712.70 = 5,653.34 : x
  2. Step 2: Convert to fraction form
    9,823.66/14,712.70 = 5,653.34/x
  3. Step 3: Cross multiply
    9,823.66x = 14,712.70 × 5,653.34
  4. Step 4: Simplify right side
    9,823.66x = 83,175,895.42
  5. Step 5: Solve for x
    x = 83,175,895.42/9,823.66
  6. Step 6: Final answer
    x = 8,466.89

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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.