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Finding the Fourth Proportional to 9,117.64, 13,705.01 and 6,017.57

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Solution

The fourth proportional to 9,117.64, 13,705.01 and 6,017.57 is: 9,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.64 : 13,705.01 = 6,017.57 : x
  2. Step 2: Convert to fraction form
    9,117.64/13,705.01 = 6,017.57/x
  3. Step 3: Cross multiply
    9,117.64x = 13,705.01 × 6,017.57
  4. Step 4: Simplify right side
    9,117.64x = 82,470,857.03
  5. Step 5: Solve for x
    x = 82,470,857.03/9,117.64
  6. Step 6: Final answer
    x = 9,045.20

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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.