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Finding the Fourth Proportional to 9,712, 14,566.56 and 3,137.32

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Solution

The fourth proportional to 9,712, 14,566.56 and 3,137.32 is: 4,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,566.56 = 3,137.32 : x
  2. Step 2: Convert to fraction form
    9,712/14,566.56 = 3,137.32/x
  3. Step 3: Cross multiply
    9,712x = 14,566.56 × 3,137.32
  4. Step 4: Simplify right side
    9,712x = 45,699,960.02
  5. Step 5: Solve for x
    x = 45,699,960.02/9,712
  6. Step 6: Final answer
    x = 4,705.51

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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.