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Finding the Fourth Proportional to 9,870.84, 14,810.40 and 3,631.50

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Solution

The fourth proportional to 9,870.84, 14,810.40 and 3,631.50 is: 5,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.84 : 14,810.40 = 3,631.50 : x
  2. Step 2: Convert to fraction form
    9,870.84/14,810.40 = 3,631.50/x
  3. Step 3: Cross multiply
    9,870.84x = 14,810.40 × 3,631.50
  4. Step 4: Simplify right side
    9,870.84x = 53,783,967.60
  5. Step 5: Solve for x
    x = 53,783,967.60/9,870.84
  6. Step 6: Final answer
    x = 5,448.77

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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.