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Finding the Fourth Proportional to 9,547.65, 14,318.06 and 3,305.99

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Solution

The fourth proportional to 9,547.65, 14,318.06 and 3,305.99 is: 4,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.65 : 14,318.06 = 3,305.99 : x
  2. Step 2: Convert to fraction form
    9,547.65/14,318.06 = 3,305.99/x
  3. Step 3: Cross multiply
    9,547.65x = 14,318.06 × 3,305.99
  4. Step 4: Simplify right side
    9,547.65x = 47,335,389.34
  5. Step 5: Solve for x
    x = 47,335,389.34/9,547.65
  6. Step 6: Final answer
    x = 4,957.80

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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.