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Finding the Fourth Proportional to 9,386.47, 14,095.78 and 8,334.65

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Solution

The fourth proportional to 9,386.47, 14,095.78 and 8,334.65 is: 12,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.47 : 14,095.78 = 8,334.65 : x
  2. Step 2: Convert to fraction form
    9,386.47/14,095.78 = 8,334.65/x
  3. Step 3: Cross multiply
    9,386.47x = 14,095.78 × 8,334.65
  4. Step 4: Simplify right side
    9,386.47x = 117,483,301.46
  5. Step 5: Solve for x
    x = 117,483,301.46/9,386.47
  6. Step 6: Final answer
    x = 12,516.24

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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.