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Finding the Fourth Proportional to 9,547.80, 14,324.04 and 3,706.08

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Solution

The fourth proportional to 9,547.80, 14,324.04 and 3,706.08 is: 5,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.80 : 14,324.04 = 3,706.08 : x
  2. Step 2: Convert to fraction form
    9,547.80/14,324.04 = 3,706.08/x
  3. Step 3: Cross multiply
    9,547.80x = 14,324.04 × 3,706.08
  4. Step 4: Simplify right side
    9,547.80x = 53,086,038.16
  5. Step 5: Solve for x
    x = 53,086,038.16/9,547.80
  6. Step 6: Final answer
    x = 5,560.03

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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.