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Finding the Fourth Proportional to 9,715.64, 14,565.58 and 3,866.60

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Solution

The fourth proportional to 9,715.64, 14,565.58 and 3,866.60 is: 5,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.64 : 14,565.58 = 3,866.60 : x
  2. Step 2: Convert to fraction form
    9,715.64/14,565.58 = 3,866.60/x
  3. Step 3: Cross multiply
    9,715.64x = 14,565.58 × 3,866.60
  4. Step 4: Simplify right side
    9,715.64x = 56,319,271.63
  5. Step 5: Solve for x
    x = 56,319,271.63/9,715.64
  6. Step 6: Final answer
    x = 5,796.76

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