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Finding the Fourth Proportional to 9,510.66, 13,120.02 and 6,156.36

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Solution

The fourth proportional to 9,510.66, 13,120.02 and 6,156.36 is: 8,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.66 : 13,120.02 = 6,156.36 : x
  2. Step 2: Convert to fraction form
    9,510.66/13,120.02 = 6,156.36/x
  3. Step 3: Cross multiply
    9,510.66x = 13,120.02 × 6,156.36
  4. Step 4: Simplify right side
    9,510.66x = 80,771,566.33
  5. Step 5: Solve for x
    x = 80,771,566.33/9,510.66
  6. Step 6: Final answer
    x = 8,492.74

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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.