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Finding the Fourth Proportional to 9,510.51, 13,123.62 and 5,531.57

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Solution

The fourth proportional to 9,510.51, 13,123.62 and 5,531.57 is: 7,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.51 : 13,123.62 = 5,531.57 : x
  2. Step 2: Convert to fraction form
    9,510.51/13,123.62 = 5,531.57/x
  3. Step 3: Cross multiply
    9,510.51x = 13,123.62 × 5,531.57
  4. Step 4: Simplify right side
    9,510.51x = 72,594,157.07
  5. Step 5: Solve for x
    x = 72,594,157.07/9,510.51
  6. Step 6: Final answer
    x = 7,633.05

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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.