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Finding the Fourth Proportional to 9,970.48, 15,015.37 and 9,084.76

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Solution

The fourth proportional to 9,970.48, 15,015.37 and 9,084.76 is: 13,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.48 : 15,015.37 = 9,084.76 : x
  2. Step 2: Convert to fraction form
    9,970.48/15,015.37 = 9,084.76/x
  3. Step 3: Cross multiply
    9,970.48x = 15,015.37 × 9,084.76
  4. Step 4: Simplify right side
    9,970.48x = 136,411,032.76
  5. Step 5: Solve for x
    x = 136,411,032.76/9,970.48
  6. Step 6: Final answer
    x = 13,681.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.