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Finding the Fourth Proportional to 9,695.46, 14,565.05 and 5,802.60

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Solution

The fourth proportional to 9,695.46, 14,565.05 and 5,802.60 is: 8,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.46 : 14,565.05 = 5,802.60 : x
  2. Step 2: Convert to fraction form
    9,695.46/14,565.05 = 5,802.60/x
  3. Step 3: Cross multiply
    9,695.46x = 14,565.05 × 5,802.60
  4. Step 4: Simplify right side
    9,695.46x = 84,515,100.81
  5. Step 5: Solve for x
    x = 84,515,100.81/9,695.46
  6. Step 6: Final answer
    x = 8,716.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.