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Finding the Fourth Proportional to 9,547.30, 13,174.95 and 5,568.67

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Solution

The fourth proportional to 9,547.30, 13,174.95 and 5,568.67 is: 7,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.30 : 13,174.95 = 5,568.67 : x
  2. Step 2: Convert to fraction form
    9,547.30/13,174.95 = 5,568.67/x
  3. Step 3: Cross multiply
    9,547.30x = 13,174.95 × 5,568.67
  4. Step 4: Simplify right side
    9,547.30x = 73,366,948.82
  5. Step 5: Solve for x
    x = 73,366,948.82/9,547.30
  6. Step 6: Final answer
    x = 7,684.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.