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Finding the Fourth Proportional to 9,870.50, 14,802.54 and 3,294.92

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Solution

The fourth proportional to 9,870.50, 14,802.54 and 3,294.92 is: 4,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.50 : 14,802.54 = 3,294.92 : x
  2. Step 2: Convert to fraction form
    9,870.50/14,802.54 = 3,294.92/x
  3. Step 3: Cross multiply
    9,870.50x = 14,802.54 × 3,294.92
  4. Step 4: Simplify right side
    9,870.50x = 48,773,185.10
  5. Step 5: Solve for x
    x = 48,773,185.10/9,870.50
  6. Step 6: Final answer
    x = 4,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.