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Finding the Fourth Proportional to 9,531.77, 13,152.53 and 5,549.81

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Solution

The fourth proportional to 9,531.77, 13,152.53 and 5,549.81 is: 7,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.77 : 13,152.53 = 5,549.81 : x
  2. Step 2: Convert to fraction form
    9,531.77/13,152.53 = 5,549.81/x
  3. Step 3: Cross multiply
    9,531.77x = 13,152.53 × 5,549.81
  4. Step 4: Simplify right side
    9,531.77x = 72,994,089.28
  5. Step 5: Solve for x
    x = 72,994,089.28/9,531.77
  6. Step 6: Final answer
    x = 7,657.98

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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.