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Finding the Fourth Proportional to 9,064.51, 12,509.44 and 5,287.07

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Solution

The fourth proportional to 9,064.51, 12,509.44 and 5,287.07 is: 7,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.51 : 12,509.44 = 5,287.07 : x
  2. Step 2: Convert to fraction form
    9,064.51/12,509.44 = 5,287.07/x
  3. Step 3: Cross multiply
    9,064.51x = 12,509.44 × 5,287.07
  4. Step 4: Simplify right side
    9,064.51x = 66,138,258.51
  5. Step 5: Solve for x
    x = 66,138,258.51/9,064.51
  6. Step 6: Final answer
    x = 7,296.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.