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Finding the Fourth Proportional to 12,297.48, 18,436.78 and 6,368.04

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Solution

The fourth proportional to 12,297.48, 18,436.78 and 6,368.04 is: 9,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.48 : 18,436.78 = 6,368.04 : x
  2. Step 2: Convert to fraction form
    12,297.48/18,436.78 = 6,368.04/x
  3. Step 3: Cross multiply
    12,297.48x = 18,436.78 × 6,368.04
  4. Step 4: Simplify right side
    12,297.48x = 117,406,152.51
  5. Step 5: Solve for x
    x = 117,406,152.51/12,297.48
  6. Step 6: Final answer
    x = 9,547.17

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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.