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Finding the Fourth Proportional to 9,295.98, 12,828.72 and 5,262.50

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Solution

The fourth proportional to 9,295.98, 12,828.72 and 5,262.50 is: 7,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.98 : 12,828.72 = 5,262.50 : x
  2. Step 2: Convert to fraction form
    9,295.98/12,828.72 = 5,262.50/x
  3. Step 3: Cross multiply
    9,295.98x = 12,828.72 × 5,262.50
  4. Step 4: Simplify right side
    9,295.98x = 67,511,139
  5. Step 5: Solve for x
    x = 67,511,139/9,295.98
  6. Step 6: Final answer
    x = 7,262.40

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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.