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Finding the Fourth Proportional to 9,258.19, 13,854.98 and 7,572.83

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Solution

The fourth proportional to 9,258.19, 13,854.98 and 7,572.83 is: 11,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.19 : 13,854.98 = 7,572.83 : x
  2. Step 2: Convert to fraction form
    9,258.19/13,854.98 = 7,572.83/x
  3. Step 3: Cross multiply
    9,258.19x = 13,854.98 × 7,572.83
  4. Step 4: Simplify right side
    9,258.19x = 104,921,408.19
  5. Step 5: Solve for x
    x = 104,921,408.19/9,258.19
  6. Step 6: Final answer
    x = 11,332.82

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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.