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Finding the Fourth Proportional to 9,549.34, 13,188.10 and 6,572.86

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Solution

The fourth proportional to 9,549.34, 13,188.10 and 6,572.86 is: 9,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.34 : 13,188.10 = 6,572.86 : x
  2. Step 2: Convert to fraction form
    9,549.34/13,188.10 = 6,572.86/x
  3. Step 3: Cross multiply
    9,549.34x = 13,188.10 × 6,572.86
  4. Step 4: Simplify right side
    9,549.34x = 86,683,534.97
  5. Step 5: Solve for x
    x = 86,683,534.97/9,549.34
  6. Step 6: Final answer
    x = 9,077.44

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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.