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Finding the Fourth Proportional to 9,670.42, 14,509.71 and 4,124.98

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Solution

The fourth proportional to 9,670.42, 14,509.71 and 4,124.98 is: 6,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.42 : 14,509.71 = 4,124.98 : x
  2. Step 2: Convert to fraction form
    9,670.42/14,509.71 = 4,124.98/x
  3. Step 3: Cross multiply
    9,670.42x = 14,509.71 × 4,124.98
  4. Step 4: Simplify right side
    9,670.42x = 59,852,263.56
  5. Step 5: Solve for x
    x = 59,852,263.56/9,670.42
  6. Step 6: Final answer
    x = 6,189.21

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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.