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Finding the Fourth Proportional to 9,564.16, 14,294.95 and 8,624.96

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Solution

The fourth proportional to 9,564.16, 14,294.95 and 8,624.96 is: 12,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.16 : 14,294.95 = 8,624.96 : x
  2. Step 2: Convert to fraction form
    9,564.16/14,294.95 = 8,624.96/x
  3. Step 3: Cross multiply
    9,564.16x = 14,294.95 × 8,624.96
  4. Step 4: Simplify right side
    9,564.16x = 123,293,328.83
  5. Step 5: Solve for x
    x = 123,293,328.83/9,564.16
  6. Step 6: Final answer
    x = 12,891.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.