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Finding the Fourth Proportional to 9,710.10, 14,565.99 and 2,690.12

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Solution

The fourth proportional to 9,710.10, 14,565.99 and 2,690.12 is: 4,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.10 : 14,565.99 = 2,690.12 : x
  2. Step 2: Convert to fraction form
    9,710.10/14,565.99 = 2,690.12/x
  3. Step 3: Cross multiply
    9,710.10x = 14,565.99 × 2,690.12
  4. Step 4: Simplify right side
    9,710.10x = 39,184,261.02
  5. Step 5: Solve for x
    x = 39,184,261.02/9,710.10
  6. Step 6: Final answer
    x = 4,035.41

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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.