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Finding the Fourth Proportional to 9,547.66, 14,284.23 and 8,439.58

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Solution

The fourth proportional to 9,547.66, 14,284.23 and 8,439.58 is: 12,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.66 : 14,284.23 = 8,439.58 : x
  2. Step 2: Convert to fraction form
    9,547.66/14,284.23 = 8,439.58/x
  3. Step 3: Cross multiply
    9,547.66x = 14,284.23 × 8,439.58
  4. Step 4: Simplify right side
    9,547.66x = 120,552,901.82
  5. Step 5: Solve for x
    x = 120,552,901.82/9,547.66
  6. Step 6: Final answer
    x = 12,626.43

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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.