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Finding the Fourth Proportional to 9,386.68, 12,953.64 and 5,407.69

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Solution

The fourth proportional to 9,386.68, 12,953.64 and 5,407.69 is: 7,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.68 : 12,953.64 = 5,407.69 : x
  2. Step 2: Convert to fraction form
    9,386.68/12,953.64 = 5,407.69/x
  3. Step 3: Cross multiply
    9,386.68x = 12,953.64 × 5,407.69
  4. Step 4: Simplify right side
    9,386.68x = 70,049,269.49
  5. Step 5: Solve for x
    x = 70,049,269.49/9,386.68
  6. Step 6: Final answer
    x = 7,462.62

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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.