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Finding the Fourth Proportional to 9,708.47, 14,567.06 and 5,767.42

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Solution

The fourth proportional to 9,708.47, 14,567.06 and 5,767.42 is: 8,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.47 : 14,567.06 = 5,767.42 : x
  2. Step 2: Convert to fraction form
    9,708.47/14,567.06 = 5,767.42/x
  3. Step 3: Cross multiply
    9,708.47x = 14,567.06 × 5,767.42
  4. Step 4: Simplify right side
    9,708.47x = 84,014,386.18
  5. Step 5: Solve for x
    x = 84,014,386.18/9,708.47
  6. Step 6: Final answer
    x = 8,653.72

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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.