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Finding the Fourth Proportional to 9,518.52, 14,298.29 and 5,822.94

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Solution

The fourth proportional to 9,518.52, 14,298.29 and 5,822.94 is: 8,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.52 : 14,298.29 = 5,822.94 : x
  2. Step 2: Convert to fraction form
    9,518.52/14,298.29 = 5,822.94/x
  3. Step 3: Cross multiply
    9,518.52x = 14,298.29 × 5,822.94
  4. Step 4: Simplify right side
    9,518.52x = 83,258,084.77
  5. Step 5: Solve for x
    x = 83,258,084.77/9,518.52
  6. Step 6: Final answer
    x = 8,746.96

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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.