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Finding the Fourth Proportional to 9,213.02, 12,710.36 and 5,670.08

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Solution

The fourth proportional to 9,213.02, 12,710.36 and 5,670.08 is: 7,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.02 : 12,710.36 = 5,670.08 : x
  2. Step 2: Convert to fraction form
    9,213.02/12,710.36 = 5,670.08/x
  3. Step 3: Cross multiply
    9,213.02x = 12,710.36 × 5,670.08
  4. Step 4: Simplify right side
    9,213.02x = 72,068,758.03
  5. Step 5: Solve for x
    x = 72,068,758.03/9,213.02
  6. Step 6: Final answer
    x = 7,822.49

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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.