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Finding the Fourth Proportional to 9,455.02, 13,047.96 and 5,206

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Solution

The fourth proportional to 9,455.02, 13,047.96 and 5,206 is: 7,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.02 : 13,047.96 = 5,206 : x
  2. Step 2: Convert to fraction form
    9,455.02/13,047.96 = 5,206/x
  3. Step 3: Cross multiply
    9,455.02x = 13,047.96 × 5,206
  4. Step 4: Simplify right side
    9,455.02x = 67,927,679.76
  5. Step 5: Solve for x
    x = 67,927,679.76/9,455.02
  6. Step 6: Final answer
    x = 7,184.30

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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.