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Finding the Fourth Proportional to 9,302.16, 12,822.77 and 5,710.49

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Solution

The fourth proportional to 9,302.16, 12,822.77 and 5,710.49 is: 7,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.16 : 12,822.77 = 5,710.49 : x
  2. Step 2: Convert to fraction form
    9,302.16/12,822.77 = 5,710.49/x
  3. Step 3: Cross multiply
    9,302.16x = 12,822.77 × 5,710.49
  4. Step 4: Simplify right side
    9,302.16x = 73,224,207.19
  5. Step 5: Solve for x
    x = 73,224,207.19/9,302.16
  6. Step 6: Final answer
    x = 7,871.74

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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.