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Finding the Fourth Proportional to 9,508.58, 13,122.06 and 5,259.93

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Solution

The fourth proportional to 9,508.58, 13,122.06 and 5,259.93 is: 7,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.58 : 13,122.06 = 5,259.93 : x
  2. Step 2: Convert to fraction form
    9,508.58/13,122.06 = 5,259.93/x
  3. Step 3: Cross multiply
    9,508.58x = 13,122.06 × 5,259.93
  4. Step 4: Simplify right side
    9,508.58x = 69,021,117.06
  5. Step 5: Solve for x
    x = 69,021,117.06/9,508.58
  6. Step 6: Final answer
    x = 7,258.82

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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.