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Finding the Fourth Proportional to 9,870.30, 14,805.45 and 9,432.90

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Solution

The fourth proportional to 9,870.30, 14,805.45 and 9,432.90 is: 14,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.30 : 14,805.45 = 9,432.90 : x
  2. Step 2: Convert to fraction form
    9,870.30/14,805.45 = 9,432.90/x
  3. Step 3: Cross multiply
    9,870.30x = 14,805.45 × 9,432.90
  4. Step 4: Simplify right side
    9,870.30x = 139,658,329.31
  5. Step 5: Solve for x
    x = 139,658,329.31/9,870.30
  6. Step 6: Final answer
    x = 14,149.35

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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.