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Finding the Fourth Proportional to 9,774.90, 14,662.35 and 3,534.87

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Solution

The fourth proportional to 9,774.90, 14,662.35 and 3,534.87 is: 5,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.90 : 14,662.35 = 3,534.87 : x
  2. Step 2: Convert to fraction form
    9,774.90/14,662.35 = 3,534.87/x
  3. Step 3: Cross multiply
    9,774.90x = 14,662.35 × 3,534.87
  4. Step 4: Simplify right side
    9,774.90x = 51,829,501.14
  5. Step 5: Solve for x
    x = 51,829,501.14/9,774.90
  6. Step 6: Final answer
    x = 5,302.31

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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.