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Finding the Fourth Proportional to 9,870.24, 14,809.52 and 5,252

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Solution

The fourth proportional to 9,870.24, 14,809.52 and 5,252 is: 7,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.24 : 14,809.52 = 5,252 : x
  2. Step 2: Convert to fraction form
    9,870.24/14,809.52 = 5,252/x
  3. Step 3: Cross multiply
    9,870.24x = 14,809.52 × 5,252
  4. Step 4: Simplify right side
    9,870.24x = 77,779,599.04
  5. Step 5: Solve for x
    x = 77,779,599.04/9,870.24
  6. Step 6: Final answer
    x = 7,880.21

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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.