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Finding the Fourth Proportional to 9,719.40, 14,567.10 and 6,599.40

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Solution

The fourth proportional to 9,719.40, 14,567.10 and 6,599.40 is: 9,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.40 : 14,567.10 = 6,599.40 : x
  2. Step 2: Convert to fraction form
    9,719.40/14,567.10 = 6,599.40/x
  3. Step 3: Cross multiply
    9,719.40x = 14,567.10 × 6,599.40
  4. Step 4: Simplify right side
    9,719.40x = 96,134,119.74
  5. Step 5: Solve for x
    x = 96,134,119.74/9,719.40
  6. Step 6: Final answer
    x = 9,890.95

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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.