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Finding the Fourth Proportional to 9,510.33, 13,118.01 and 5,730.93

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Solution

The fourth proportional to 9,510.33, 13,118.01 and 5,730.93 is: 7,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.33 : 13,118.01 = 5,730.93 : x
  2. Step 2: Convert to fraction form
    9,510.33/13,118.01 = 5,730.93/x
  3. Step 3: Cross multiply
    9,510.33x = 13,118.01 × 5,730.93
  4. Step 4: Simplify right side
    9,510.33x = 75,178,397.05
  5. Step 5: Solve for x
    x = 75,178,397.05/9,510.33
  6. Step 6: Final answer
    x = 7,904.92

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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.