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Finding the Fourth Proportional to 9,752.25, 13,460.51 and 5,562.93

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Solution

The fourth proportional to 9,752.25, 13,460.51 and 5,562.93 is: 7,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.25 : 13,460.51 = 5,562.93 : x
  2. Step 2: Convert to fraction form
    9,752.25/13,460.51 = 5,562.93/x
  3. Step 3: Cross multiply
    9,752.25x = 13,460.51 × 5,562.93
  4. Step 4: Simplify right side
    9,752.25x = 74,879,847.08
  5. Step 5: Solve for x
    x = 74,879,847.08/9,752.25
  6. Step 6: Final answer
    x = 7,678.21

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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.