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Finding the Fourth Proportional to 9,386.34, 12,955.91 and 5,410.25

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Solution

The fourth proportional to 9,386.34, 12,955.91 and 5,410.25 is: 7,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.34 : 12,955.91 = 5,410.25 : x
  2. Step 2: Convert to fraction form
    9,386.34/12,955.91 = 5,410.25/x
  3. Step 3: Cross multiply
    9,386.34x = 12,955.91 × 5,410.25
  4. Step 4: Simplify right side
    9,386.34x = 70,094,712.08
  5. Step 5: Solve for x
    x = 70,094,712.08/9,386.34
  6. Step 6: Final answer
    x = 7,467.74

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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.