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Finding the Fourth Proportional to 9,774.96, 13,490.16 and 5,583.12

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Solution

The fourth proportional to 9,774.96, 13,490.16 and 5,583.12 is: 7,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.96 : 13,490.16 = 5,583.12 : x
  2. Step 2: Convert to fraction form
    9,774.96/13,490.16 = 5,583.12/x
  3. Step 3: Cross multiply
    9,774.96x = 13,490.16 × 5,583.12
  4. Step 4: Simplify right side
    9,774.96x = 75,317,182.10
  5. Step 5: Solve for x
    x = 75,317,182.10/9,774.96
  6. Step 6: Final answer
    x = 7,705.11

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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.