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Finding the Fourth Proportional to 9,710, 14,570.28 and 3,866.60

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Solution

The fourth proportional to 9,710, 14,570.28 and 3,866.60 is: 5,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 14,570.28 = 3,866.60 : x
  2. Step 2: Convert to fraction form
    9,710/14,570.28 = 3,866.60/x
  3. Step 3: Cross multiply
    9,710x = 14,570.28 × 3,866.60
  4. Step 4: Simplify right side
    9,710x = 56,337,444.65
  5. Step 5: Solve for x
    x = 56,337,444.65/9,710
  6. Step 6: Final answer
    x = 5,802.00

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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.