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Finding the Fourth Proportional to 9,875.49, 14,813.22 and 4,538.07

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Solution

The fourth proportional to 9,875.49, 14,813.22 and 4,538.07 is: 6,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.49 : 14,813.22 = 4,538.07 : x
  2. Step 2: Convert to fraction form
    9,875.49/14,813.22 = 4,538.07/x
  3. Step 3: Cross multiply
    9,875.49x = 14,813.22 × 4,538.07
  4. Step 4: Simplify right side
    9,875.49x = 67,223,429.29
  5. Step 5: Solve for x
    x = 67,223,429.29/9,875.49
  6. Step 6: Final answer
    x = 6,807.10

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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.