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Finding the Fourth Proportional to 9,569.59, 13,208.79 and 5,792.77

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Solution

The fourth proportional to 9,569.59, 13,208.79 and 5,792.77 is: 7,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.59 : 13,208.79 = 5,792.77 : x
  2. Step 2: Convert to fraction form
    9,569.59/13,208.79 = 5,792.77/x
  3. Step 3: Cross multiply
    9,569.59x = 13,208.79 × 5,792.77
  4. Step 4: Simplify right side
    9,569.59x = 76,515,482.45
  5. Step 5: Solve for x
    x = 76,515,482.45/9,569.59
  6. Step 6: Final answer
    x = 7,995.69

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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.