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Finding the Fourth Proportional to 9,549.12, 13,176.64 and 5,569.76

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Solution

The fourth proportional to 9,549.12, 13,176.64 and 5,569.76 is: 7,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.12 : 13,176.64 = 5,569.76 : x
  2. Step 2: Convert to fraction form
    9,549.12/13,176.64 = 5,569.76/x
  3. Step 3: Cross multiply
    9,549.12x = 13,176.64 × 5,569.76
  4. Step 4: Simplify right side
    9,549.12x = 73,390,722.41
  5. Step 5: Solve for x
    x = 73,390,722.41/9,549.12
  6. Step 6: Final answer
    x = 7,685.60

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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.