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Finding the Fourth Proportional to 9,878.10, 14,746.71 and 9,532.09

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Solution

The fourth proportional to 9,878.10, 14,746.71 and 9,532.09 is: 14,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.10 : 14,746.71 = 9,532.09 : x
  2. Step 2: Convert to fraction form
    9,878.10/14,746.71 = 9,532.09/x
  3. Step 3: Cross multiply
    9,878.10x = 14,746.71 × 9,532.09
  4. Step 4: Simplify right side
    9,878.10x = 140,566,966.92
  5. Step 5: Solve for x
    x = 140,566,966.92/9,878.10
  6. Step 6: Final answer
    x = 14,230.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.