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Finding the Fourth Proportional to 9,038.04, 13,583.82 and 7,488

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Solution

The fourth proportional to 9,038.04, 13,583.82 and 7,488 is: 11,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.04 : 13,583.82 = 7,488 : x
  2. Step 2: Convert to fraction form
    9,038.04/13,583.82 = 7,488/x
  3. Step 3: Cross multiply
    9,038.04x = 13,583.82 × 7,488
  4. Step 4: Simplify right side
    9,038.04x = 101,715,644.16
  5. Step 5: Solve for x
    x = 101,715,644.16/9,038.04
  6. Step 6: Final answer
    x = 11,254.17

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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.