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Finding the Fourth Proportional to 9,585.06, 13,225.40 and 5,605.40

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Solution

The fourth proportional to 9,585.06, 13,225.40 and 5,605.40 is: 7,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.06 : 13,225.40 = 5,605.40 : x
  2. Step 2: Convert to fraction form
    9,585.06/13,225.40 = 5,605.40/x
  3. Step 3: Cross multiply
    9,585.06x = 13,225.40 × 5,605.40
  4. Step 4: Simplify right side
    9,585.06x = 74,133,657.16
  5. Step 5: Solve for x
    x = 74,133,657.16/9,585.06
  6. Step 6: Final answer
    x = 7,734.29

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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.