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Finding the Fourth Proportional to 9,817.10, 13,547.95 and 5,626.16

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Solution

The fourth proportional to 9,817.10, 13,547.95 and 5,626.16 is: 7,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.10 : 13,547.95 = 5,626.16 : x
  2. Step 2: Convert to fraction form
    9,817.10/13,547.95 = 5,626.16/x
  3. Step 3: Cross multiply
    9,817.10x = 13,547.95 × 5,626.16
  4. Step 4: Simplify right side
    9,817.10x = 76,222,934.37
  5. Step 5: Solve for x
    x = 76,222,934.37/9,817.10
  6. Step 6: Final answer
    x = 7,764.30

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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.