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Finding the Fourth Proportional to 9,719.49, 14,585.67 and 5,340

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Solution

The fourth proportional to 9,719.49, 14,585.67 and 5,340 is: 8,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.49 : 14,585.67 = 5,340 : x
  2. Step 2: Convert to fraction form
    9,719.49/14,585.67 = 5,340/x
  3. Step 3: Cross multiply
    9,719.49x = 14,585.67 × 5,340
  4. Step 4: Simplify right side
    9,719.49x = 77,887,477.80
  5. Step 5: Solve for x
    x = 77,887,477.80/9,719.49
  6. Step 6: Final answer
    x = 8,013.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.