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Finding the Fourth Proportional to 9,508.85, 13,117.80 and 6,152.75

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Solution

The fourth proportional to 9,508.85, 13,117.80 and 6,152.75 is: 8,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.85 : 13,117.80 = 6,152.75 : x
  2. Step 2: Convert to fraction form
    9,508.85/13,117.80 = 6,152.75/x
  3. Step 3: Cross multiply
    9,508.85x = 13,117.80 × 6,152.75
  4. Step 4: Simplify right side
    9,508.85x = 80,710,495.77
  5. Step 5: Solve for x
    x = 80,710,495.77/9,508.85
  6. Step 6: Final answer
    x = 8,487.93

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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.