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Finding the Fourth Proportional to 9,047.42, 13,547.63 and 6,244.91

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Solution

The fourth proportional to 9,047.42, 13,547.63 and 6,244.91 is: 9,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.42 : 13,547.63 = 6,244.91 : x
  2. Step 2: Convert to fraction form
    9,047.42/13,547.63 = 6,244.91/x
  3. Step 3: Cross multiply
    9,047.42x = 13,547.63 × 6,244.91
  4. Step 4: Simplify right side
    9,047.42x = 84,603,730.23
  5. Step 5: Solve for x
    x = 84,603,730.23/9,047.42
  6. Step 6: Final answer
    x = 9,351.14

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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.