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Finding the Fourth Proportional to 9,774.40, 13,484.70 and 7,228.24

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Solution

The fourth proportional to 9,774.40, 13,484.70 and 7,228.24 is: 9,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.40 : 13,484.70 = 7,228.24 : x
  2. Step 2: Convert to fraction form
    9,774.40/13,484.70 = 7,228.24/x
  3. Step 3: Cross multiply
    9,774.40x = 13,484.70 × 7,228.24
  4. Step 4: Simplify right side
    9,774.40x = 97,470,647.93
  5. Step 5: Solve for x
    x = 97,470,647.93/9,774.40
  6. Step 6: Final answer
    x = 9,972.03

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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.