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Finding the Fourth Proportional to 9,297.59, 12,830.77 and 5,048.69

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Solution

The fourth proportional to 9,297.59, 12,830.77 and 5,048.69 is: 6,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.59 : 12,830.77 = 5,048.69 : x
  2. Step 2: Convert to fraction form
    9,297.59/12,830.77 = 5,048.69/x
  3. Step 3: Cross multiply
    9,297.59x = 12,830.77 × 5,048.69
  4. Step 4: Simplify right side
    9,297.59x = 64,778,580.19
  5. Step 5: Solve for x
    x = 64,778,580.19/9,297.59
  6. Step 6: Final answer
    x = 6,967.24

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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.