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Finding the Fourth Proportional to 9,503.86, 13,115.07 and 5,312.92

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Solution

The fourth proportional to 9,503.86, 13,115.07 and 5,312.92 is: 7,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.86 : 13,115.07 = 5,312.92 : x
  2. Step 2: Convert to fraction form
    9,503.86/13,115.07 = 5,312.92/x
  3. Step 3: Cross multiply
    9,503.86x = 13,115.07 × 5,312.92
  4. Step 4: Simplify right side
    9,503.86x = 69,679,317.70
  5. Step 5: Solve for x
    x = 69,679,317.70/9,503.86
  6. Step 6: Final answer
    x = 7,331.69

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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.