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Finding the Fourth Proportional to 9,586.51, 14,400.73 and 6,830.89

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Solution

The fourth proportional to 9,586.51, 14,400.73 and 6,830.89 is: 10,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.51 : 14,400.73 = 6,830.89 : x
  2. Step 2: Convert to fraction form
    9,586.51/14,400.73 = 6,830.89/x
  3. Step 3: Cross multiply
    9,586.51x = 14,400.73 × 6,830.89
  4. Step 4: Simplify right side
    9,586.51x = 98,369,802.55
  5. Step 5: Solve for x
    x = 98,369,802.55/9,586.51
  6. Step 6: Final answer
    x = 10,261.27

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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.